The equivalent resistance across a and b in the circuit is The Equivalent Resistance Calculator will calculate the equivalent resistance of a series combination of resistors and the equivalent resistance of a parallel combination of resistors with full formula and calculations. R a b = 14 2 = 7 Ω Sep 1, 2024 · CONCEPT: Equivalent Resistance: Equivalent Resistance between two Points is the ratio of Potential Difference between them and the amount of current passing through them. (a) Calculate the equivalent resistance of the circuit. Ans: Hint: (i) The resistance across AB and resistance across BC is Calculate the equivalent resistance of up to six resistors in parallel with ease while learning how to calculate resistance in parallel and the parallel resistance formula. Calculate the voltage drop of a current across a resistor using Ohm’s law. 5. What is Thevenin's Theorem for Circuit Analysis? Thevenin’s theorem states that any linear circuit, no matter how complex, can be simplified to an equivalent circuit consisting of a single voltage source with a series resistance connected to a load. This combined resistance is known as the equivalent resistance. It is calculated differently for series and parallel circuits, helping determine current flow, voltage distribution, and overall power consumption in electrical networks. To find the current in a complex circuit, it is necessary to know the Select one: a. How can we solve these series-parallel combination circuits to find the individual current and voltage drops around it. 00 22 Voltage of battery = 12. An ac voltage source V = V 0sinωt is connected across resistance R and capacitance C as shown in figure. b, What is the current, I, in amperes? There are 2 steps to solve this one. Select the value of R in the circuit below Q. Drop across 4 Ω First let’s calculate the expression of the equivalent resistance seen across terminals a-b. All the four resistances are at same potential, therefore they are short circuited. Dec 30, 2024 · To find the equivalent resistance across points A and B, we need to simplify the circuit step by step by combining resistors in series and parallel. 0 V 990 (2 Show transcribed image text Nov 8, 2022 · Figure 5. a. Hence, circuit current is = 5/12 A. The equivalent circuit can be used repeatedly even though the load is changed without doing calculation from the beginning. Complete answer: A wheat-stone bridge Determine a) the equivalent resistance of the circuit shown in Fig. Exercise: Determine the equivalent resistance of the circuit comprised of two parallel resistors when and (a) , (b) , (c) Figure 3. Thus, for finding the equivalent resistance between A and B, our simplified circuit becomes as shown in the following Nov 19, 2017 · By looking at the circuit due to lack of symmetry, it can be said that D,O,B are not at same potential, so what you have done is incorrect if equivalent resistance is to be found across AB. The 6Ω resistors in the middle form a bridge and can be simplified using the star-delta This parallel resistor calculator is a tool for determining the equivalent resistance of a circuit with up to ten resistors in parallel. This is done by shorting out all the voltage sources connected to the circuit, that is v = 0, or open circuit any connected current sources making i = 0. Step by Step Solution: Step 1 Identify the resistors in series and parallel. This series resistor calculator is a tool for determining the equivalent resistance of a circuit with up to ten resistors connected in series. The uses of Norton Theorem are to: Simplify a complex circuit into a simple equivalent circuit. Dec 15, 2022 · In electrical and electronic circuits, resistance or electrical resistance is defined as the amount of friction in the flow of electric current (or electric charge) offered by the conductor material. When unequal resistors are connected in parallel in a circuit the potential drop is always the same across each resistor. Current Electricity. Find the equivalent resistance and ? ( I ??) in the circuit below. Find the Equivalent Resistance (Rs) Now draw the Norton from the Norton equivalent circuit, connecting the current source in parallel with equivalent resistance. When no current flows through the galvanometer, the bridge is considered to be balanced. May 30, 2017 · I need to find R(AB). (ii) current in the circuit (iii) potential difference between A and B\n \n \n \n \n . Currently the calculator only accepts resistor values. R1 W MR 2. Thus, for finding the equivalent resistance between A and B, our simplified circuit becomes as shown in the following Question: Consider the following electrical circuit. 1. What is the equivalent resistance between points A and B? Answer= 8ohms (in what order do you add series and parallel to get that answer?) A number of resistors are connected across points A and B as shown in Fig. m. 19–48, b) the voltage across each resistor, and c) the current through each resistor. (15 points) Find the Thevenin Resistance, Rth, as seen between a and b. 25 A flows through the circuit. The method of calculating the circuits equivalent resistance is the same as that for any individual series or parallel circuit and hopefully we now know that resistors in series carry exactly the same current and that resistors in parallel have exactly the same voltage across them. Calculate the equivalent resistance of the following network: [2 Marks] Summary Draw a circuit with resistors in parallel and in series. The Wheatstone bridge operates on the null deflection principle, which states that their resistance ratios are equivalent and no current flows across the circuit. Oct 9, 2023 · The simplified equivalent circuit is: 10Ω and 15Ω are in parallel. If several resistors are connected together and connected to a battery, the current supplied by the battery depends on the equivalent Problem: Let’s find the Thevenin’s equivalent circuit for the above circuit. We will only consider four points 1, 2, 3 and 4 as shown in the figure. 26-39, and (b) the voltage across each resistor. 6 Set of N resistors connected in parallel (left) and a single resistor having equivalent resistance (right). Oct 11, 2020 · The equivalent resistance of the circuit is the amount of resistance that a single resistor will require in order to equalise the total effect of the set of resistors present in the circuit. potential difference in each device in the circuit. The four resistors have resistances of R1 = 14 Ω, R2 = 21 Ω, R3 = 21 Ω, and R4 = 14 Ω. A. Series and Parallel Resistors Circuit Transformation Rules Goal Equivalent Resistance Find the Equivalent Resistance across terminals A & B and C & B Study with Quizlet and memorize flashcards containing terms like When unequal resistors are connected in series across an ideal battery_________. The 6Ω resistors in the middle form a bridge and can be simplified using the star-delta transformation. across the 4Ω resistor? On further simplifying :- Finally equivalent resistance between two vertices along the face diagonal (AC) = 3R/4 Equivalent resistance between two adjacent vertices (Cube Resistance Problem) Let us consider a cube as shown in figure as shown in figure below :- Equivalent resistance between two adjacent vertices (AB) is = 7R/12. Similar Questions Knowledge Check Equivalent resistance across A and B in the given circuit is A 2r 3 B 8r 7 C 7r 3 Here, we need not to solve the whole circuit of thirteen resistances to find the equivalent resistance between A and B. Hence, the equivalent resistance across points A and B is r 4. Calculating Equivalent Resistance The method for calculating equivalent resistance differs depending on whether the circuit is in series or parallel. It is resistance across terminals A and B. (a) Find the equivalent resistance across AB. The equivalent resistance between A and B is May 28, 2021 · We were able to simplify the circuit by finding the equivalent parallel resistance of the 200 and 300 ohm resistors, and then we noticed that the voltage across those resistors is actually the Thevenin Voltage. Determine (a) the equivalent resistance of the circuit shown in the Figure below (b) the voltage across each resistor, (c) the current through each resistor. The combined equivalent resistance across the main line in a parallel circuit can be found by dividing the common voltage across the parallel resistances by the total current of all branches Choose an answer 1 True Analysis of Combination Circuits The basic strategy for the analysis of combination circuits involves using the meaning of equivalent resistance for parallel branches to transform the combination circuit into a series circuit. Oct 10, 2023 · For parallel resistors, the inverse of equivalent resistance is the sum of the inverses of individual resistances. What is the equivalent resistance across the points A and B in the circuit given alongside? (A) 8 Ω (B) 12 Ω (C) 16 Ω (D) 32 Ω. If you need your resistors in parallel, you can read our parallel resistor calculator for that. (II) Determine (a) the equivalent resistance of the circuit shown in Fig. Feb 22, 2024 · So you remove it, and after that it is just a simple parallel resistance calculation, which comes out at 2R/5. Calculate total resistance of a Expression for equivalent resistance: In parallel, 1 R e q = 1 R 1 + 1 R 2 In series, R e q = R 1 + R 2 Complete answer: In the question, we are given a circuit with a combination of some resistors and two diodes. (26-16) Determine (a) the equivalent resistance of the circuit shown in Fig. ab The equivalent resistance Rth is the resistance that the circuit between terminals A and B would have if all ideal voltage sources in the circuit were replaced by a short circuit and all ideal current sources were replaced by an open circuit (i. none of these, Consider the circuit shown. In the three-resistor circuit diagram shown here R1 = 1. (a) Find the equivalent resistance of the circuit shown below. c. Find the Thevenin equivalent circuit for the circuit shown below at terminals a and b. Solving method for electric circuit problems such as to find equivalent resistance between points a and b in a circuit is explained here. Dec 30, 2024 · Concepts: Equivalent resistance, Series and parallel circuits Explanation: To find the equivalent resistance across points A and B, we need to simplify the circuit step by step by combining resistors in series and parallel. If you have a 1-volt battery applied to a 1-ohm resistor, you have 1 amp of current flowing, making 1 watt General rules for finding the equivalent resistance of a simple circuit: Two (or more) resistors with their heads directly connected together and their tails directly connected together are in parallel. C) The total voltage supplied by the battery is the sum of the voltages across each capacitor. Most circuits have more than one resistor. Circuit diagram shows that resistors 2Ω, 4Ω and RΩ connected to a battery of e. The first thing we will do is to find the open circuit voltage between A and B. None of these 12 Ohms 6 Ohms 8 Ohms There are 2 steps to solve this one. By shorting the voltage source the circuit for the calculation of the equivalent resistance is attenuator May 17, 2025 · Understanding how to calculate equivalent resistance is essential for anyone working with electrical circuits. the potential difference across each is the same B. The equivalent resistance across the points A and B is 1. (e) the equivalent resistance of the circuit will increase. For resistors in parallel the equivalent circuit resistance R T is calculated differently. (c) The total voltage supplied by the battery is the sum of the voltages across each capacitor. What is the equivalent resistance between A and B in the given circuit, if R =3Ω. 12. Each bulb dissipates an average power of 60 W. As an electronics student or as an engineering student, you should be able to solve simple and complex circuits. This set of Class 12 Physics Chapter 3 Multiple Choice Questions & Answers (MCQs) focuses on “Combination of Resistors – Series and Parallel”. 750 2 68013 - 3990 22 FIGURE 19-48 Problem 16. The statement of the problem is straightforward, find the equivalent resistance. Net voltage around the circuit is (15 – 10) = 5 V and total resistance is 98 + 4) = 12 Ω. Equivalent Resistance of Circuits with Infinite Resistances (How To Find The Equivalent Resistance of a Complex Circuit) In the above circuit, resistances R1 , R2 and R3 are repeated, hence the above circuit can be simplified as follows :- Question: 4. Nov 5, 2024 · Parallel Circuits In a parallel circuit, the components are connected across each other, forming multiple paths for the current to flow. The equivalent resistance of a circuit is the amount of resistance that a single resistor would need in order to equal the overall effect of the collection of resistors that are present in the circuit. Select the value of R in the circuit below The statement of the problem is straightforward, find the equivalent resistance. a, Enter an expression for the equivalent resistance, Req, of the whole circuit. The 5 ohm and the 5 ohm that are connected to terminal A are in series, and so they can be replaced by an equivalent resistor Rs1 of 10 ohms, using the equation Rs= 5+5 =10 ohms. d. number of branches in the circuit. For this purpose, we have to calculate (i) Vth or VAB With terminals A and B open, the two voltage sources are connected in subtractive series because they oppose each other. What is the p. The peak current is I 0. Therefore the above circuit is same as the following This single resistance is called Equivalent Resistance of the circuit and is used to replace any number resistors in series. 0 V Show transcribed image text Oct 23, 2018 · This article provides an overview of Thevenin’s Theorem, explaining how complex circuits can be simplified into an equivalent circuit with a single voltage source and series resistance. Final Answer The equivalent resistance across points A and B is approximately 16. This is the circuit: I thought that $$R_E=R_1+R+R_2$$ but the solution says that $$R_E=R_1+R_2$$ Why is that? Aug 20, 2025 · In Current and Resistance, we described the term ‘resistance’ and explained the basic design of a resistor. Note: Since the four resistance have the same potential difference across them, they are in parallel connection. What is the equivalent resistance across points A and B in the circuit given below? Now, R 4 and 16Ω are in parallel. I really do not know how to solve this kind of circuits. [3 Marks] b) b. Question: Please Solve AllP Part A - Calculation of the equivalent resistance for resistors in seriesFor the circuit shown in (Figure 1), what is the equivalent resistance between the terminals A and B when R1R1 = 470 ΩΩ , R2R2 = 80 ΩΩ Calculate the open-circuit voltage: use imaginaryscissors to cut the sub-circuit we wish to calculate its Thevenin equivalent from the remaining circuit and calculate its open-circuit voltage (voc) across its open terminals For the given circuit, calculate (i) equivalent resistance between the points A and C. The value of current and voltage depends on the Aug 19, 2022 · Specifically, we will look at the equivalent resistance as seen by the voltage source and then use that information along with voltage division to get the individual voltages across the resistors. 5 Ω, and The potential difference across the battery terminals is 19. 12+10. 00 2 R5=8. f. Jun 5, 2018 · Given that,4 resistors of resistance 5 ohms each. For extra practice (Not graded)Find the equivalent resistance across a and b. Question: - (II) Determine (a) the equivalent resistance of the circuit shown in Fig. ) are connected in parallel across potential difference (V) with current (I) flowing in the circuit. It's the same resistors, why should the resistance be different? Question: 16. B) The equivalent capacitance of the circuit is the sum of the individual capacitances. (c) the total current through the battery will increase. But the second inage is correct if you are finding resistance across AC. . If the angular frequency of the voltage source is changed to ω √3 by keeping R and C fixed, then the new peak current in the circuit is- The circuit can be reduced, step by step, to a single equivalent resistance. It's the same resistors, why should the resistance be different? Question: 1. 5 V. the current flowing in each is the same, How many paths through which charges can flow would be shown in a circuit diagram of a series circuit Jul 9, 2024 · Solution; Obviously, we have to find equivalent Thevenin circuit. To start, replace all independent sources using their internal resistances, meaning, replace voltage sources with short circuits and current sources with open circuits, and connect a 1V voltage test source across nodes a and b. It's the same resistors, why should the resistance be different? Question: Given the circuit to the below, use series and parallel combinations to show that equivalent resistance (Req ) across points (a,b) is 100Ω. 77M subscribers Subscribe Which one of the following statements is correct about this combination? The equivalent resistance is more than the largest resistance. 1: Resistors in Series. Thevenin’s Theorem Explanation Thevenin’s theorem states that it is possible to simplify any linear circuit, irrespective of how complex it is, to an equivalent circuit with a single voltage source and a series resistance. e. That is how I guessed the answer was one. (Ans: 2 Ohms)ENGR 313 - Circuits and InstrumentationHomework Set #2Due by 11. For the circuit shown in the figure, the ideal battery has an emf ε = 80 V. (d) the rate of energy dissipation in R will increase. larger than the resistance of resistor A B. Series Circuits In a series circuit, the equivalent resistance is simply the sum of the individual Jun 4, 2024 · it is an exercise in futility to get the point across. Symmetry Nov 1, 2024 · Solving Electric Circuit Problems When tackling a circuit problem you may need to figure out the equivalent resistance of the circuit, voltage drops across resistors, total current coming out of the battery or current through specific resistors, power dissipated by resistors or provided by the battery, relative brightness of light bulbs in a circuit, the effect of a shorted resistor, or a Here, we need not to solve the whole circuit of thirteen resistances to find the equivalent resistance between A and B. 8 R Ω Note: After solving each branch resistance you must draw the Question: A number of resistors are connected across points A and B as shown in Fig. Step 3: Overall Equivalent Resistance between A and B The effective resistor from A to E and the effective resistor from B to E now are connected in series between A and B (with node E as the junction): RAB = RAE +RBE ≈ 6. (b) the current through R will decrease. 6 Ω. Step 7: Due to the complexity and symmetry, the equivalent resistance using star-delta transformation or network theorems (Wye-Delta) simplifies this circuit to find the equivalent resistance between A and B. (b) Find the equivalent resistance across AC. Nortons equivalent circuit Now we connect the load 40Ω across the A and B terminal. Determine Thevenin equivalent (voltage VTH and resistance RTH ), across terminals A−B of the linear circuit shown in the figure below using the following information: when a resistor R1=10kΩ is connected across A−B the voltagev V 1=10 V and when a resistor R2=30kΩ is connected across A−B the voltage V2=15 V. Calculate the Equivalent Resistance of the circuit below as seen across points \ ( a \) and \ ( b \). d. 2 In a parallel portion of a series-parallel circuit, the voltage across a parallel branch can be found by multiplying the total branch current by the equivalent resistance of the parallel branch 3 What is the first step necessary to allow calculation of voltages in a combination circuit containing resistive loads in series and parallel 4 The statement of the problem is straightforward, find the equivalent resistance. 00 2 R2=3. The reason for this is that we want to have an ⇒ R e q = r 4. Is there an error in this question or solution? What is the equivalent resistance across points A and B in the circuit given below? Net equivalent resistance across the points A and B is 8Ω. Equivalent Resistance can also be defined as the resistance of the resistor which will replace all the resistors between two points and will draw the same current between these two points as it was flowing Earlier. Combination series and parallel circuits, as the name suggests, consist of combinations of series and parallel circuits connected together within the same circuit across a single voltage source. In series connection of resistors, what happens to the current across each resistor? a) Increases b) Decreases c) Remain the same d) Initially increases and then decreases View Answer Jul 3, 2022 · Series and Parallel Resistors : Find the equivalent resistance at terminals a b Electrical Engineering 60. Solution In the above circuit, we have a voltage source (32V) and another current source (2A). ] Let, equivalent Resistance of two resistance connected in parallel is RP RP 1 = 41 + 41 41+1 = 42 = 21 heref oreRP =2 Ω [Circuit Diagram: A series combination of Nov 8, 2023 · To find the **equivalent **resistance across terminals in a circuit, combine resistors following the rules for resistors in series and parallel until you get a single equivalent resistor. (b) Calculate the current flowing through and the voltage drop across each resistor. 59pm on Thursday 213?2025Using voltage divider knowledge, determine VL in the circuit. Part D - Calculation of the equivalent resistance for a resistor network: part 2 For the circuit shown in (Figure 4), what is the equivalent resistance between terminals A and B when R1R1DR1 = 15 ΩΩ , R2R2DR2 = 16 ΩΩ , R3R3DR3 = 4. The equivalent resistance Rth is the resistance that the circuit between terminals A and B would have if all ideal voltage sources in the circuit were replaced by a short circuit and all ideal current sources were replaced by an open circuit (i. Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V = I R. ∴ Net equivalent resistance across points A and B is 8Ω. What is the equivalent resistance across the points A and B in the circuit given alongside? 142 197 Current Electricity Report Error The statement of the problem is straightforward, find the equivalent resistance. Equivalent resistance is not only a property of the resistor network, but also of what points you measure between. but The question seems at first a little absurd. Dec 18, 2018 · Answer:The equivalent resistance across the two ends A and B of the above circuit is 2Ω. Nov 8, 2022 · Solving Electric Circuit Problems When tackling a circuit problem you may need to figure out the equivalent resistance of the circuit, voltage drops across resistors, total current coming out of the battery or current through specific resistors, power dissipated by resistors or provided by the battery, relative brightness of light bulbs in a circuit, the effect of a shorted resistor, or a 18 hours ago · Example 1: Finding the Equivalent Resistance of a Combination Circuit The circuit shown contains both series and parallel combinations of resistors. 00 2 R4=4. Jul 23, 2025 · Equivalent resistance is defined as the total resistance of the circuit for the resistors connected in series or parallel combination. I bet there's a clever way to rearrange the resistors to make it obvious but I just can't see it. Number 1 is a magic number in Ohm's law and parallel circuits. Find the equivalent resistance across the points A and B in the given circuit. 40. I have a huge issue with problems where the terminals are "in the middle" of the circuit. 3). 2. (c) If a battery of 8V is connected across AC, find the total power consumed by the resistors. The first answer gives some insight why it should be correct for this case. 19-48, (b) the voltage across each resistor, and (c) the current through each resistor. R = 15 × 10 15 + 10 = 6 Ω 6Ω and 8Ω are in series. Similar Questions Knowledge Check Equivalent resistance across A and B in the given circuit is A 2r 3 B 8r 7 C 7r 3 Feb 8, 2020 · Equivalent resistance across A and B in the given circuit is Doubtnut 3. A shorted resistor (1) makes zero Ohms of contribution to the equivalent resistance and (2) can be removed from the circuit when calculating the equivalent resistance. b. Question: 4. Dec 24, 2024 · 3 I'm trying to find the equivalent resistance across terminals A-B. Jun 28, 2022 · The total resistance calculated across the A and B terminal. I can see: (A) Find the equivalent resistance across A & B [Circuit Diagram: A series resistor of 4Ω connected to a parallel combination of two 4Ω resistors, which is then connected to a series resistor of 2Ω, ending at point B. the voltage drop across each resistor is the same C. The three resistance are parallel to each other hence the equivalent resistance will be, 1 R eq = 1 8 R 3 + 1 2 R + 1 8 R 3 ⇒ 1 R eq = 3 8 R + 1 2 R + 3 8 R = 3 + 4 + 4 8 R = 10 8 R Now rearranging the above equation we will get, R eq = 8 R 10 = 0. An Example Let’s find the Thevenin equivalent of the circuit shown at the beginning of this chapter. Assume the battery has negligible internal resistance. smaller than the resistance of resistor C D. A main current of 0. (b) Calculate the current flowing through and the voltage Mar 20, 2024 · The combination of three 3 Ω resistors in series is equivalent to having a single 9 Ω resistor. While a solution is appreciated, I'm rather looking for an explanation/redrawing and understanding of the circuit. Combination of Series and Parallel:When resistors are connected in both series and parallel, we need to simplify the circuit to find the equivalent resistance. Feb 17, 2024 · In this article, we learn about finding the equivalent resistance across given points. Future iterations should include circuits with voltage and current supplies. 7500 680 2 12. R1=6. To find,The equivalent resistance of the resistors. Solution,In the middle branch, two 5 ohms resistors are conn… (b) The equivalent capacitance of the circuit is the sum of the individual capacitances. 26-14. a)With the help of a labelled circuit diagram, derive a formula to find combined resistance (R) when two or more resistances (R1, R2, R3…. Jun 4, 2025 · @phuclv It's a symbol specifically meant to indicate a non-reactive resistor. FIGURE 26-39 Problem 16. What is Norton’s Theorem Norton’s theorem statement is A linear two-terminal Circuit diagram shows that resistors 2Ω, 4Ω and RΩ connected to a battery of e. Was this answer helpful? Four resistances 10Ω,5Ω,7Ω and 3Ω are connected so that they form the sides of a rectangle AB,BC,CD and DA respectively. This resistance Rs1 of 10 ohms is now connected parallely to another 10 ohms resistance. Maybe I have to use transforming from triangle to star? But it is quite Share this Article Home » Circuits » Solving Equivalent resistance of complex circuits Here equivalence solved for resistance, it can also be applied to capacitance and impedance. Mar 8, 2018 · Find the equivalent resistance across two ends A and B of the circuit ( all the resistance are 2 ohm) - 2858871 Feb 2, 2018 · I am having difficulties finding the equivalent resistance between points A and B. Identical light bulbs can be attached to identical ideal batteries in three different ways Question: 1. Each resistance of the circuit shown in diagram is r. To find the equivalent resistance between points A and B, we first analyze the circuit. R = 6+8 = 14 Ω When two equal resistances are connected in parallel, their equivalent resistance is always the half of resistance. 5 Ω, R3 = 6. , the sources are set to provide zero voltages and currents). equivalent resistance of the circuit. 5 ΩΩ . The electric circuit element that is used to intro May 28, 2024 · Introduction: How to Calculate Resistors in Series and Parallel: 30+ Solved Examples, Circuit diagram- in this article, you will learn how to calculate the resistance of resistors connected in series and parallel. 43 = 16. When resistances are in parallel connection, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual The task is to find the Thevenin equivalent circuit between A and B. Once transformed into a series circuit, the analysis can be conducted in the usual manner. 2 V and internal resistance 3Ω. It's the same resistors, why should the resistance be different? Finally resistance between point B and point E and Req5 are in parallel, their equivalent resistance will be Req6 = R1R2 R1+R2 = 16×16 16+16Ω =8Ω resistance between A and B can be replaced with 8Ω Thus eqvivalent resistance between A and B is 8Ω . The total resistance in a parallel circuit is less than the smallest individual resistance. As described above, voc will be the Thevenin voltage, and the ratio voc/isc and will be the Thevenin resistance RTH. A resistor nevertheless, just a bit special, used when it matters which kind of resistor is intended. Figure 6 below shows the analysis. It's the same resistors, why should the resistance be different? Before learning about Norton’s theorem formula, let us know the uses of Norton Theorem first. Determine the following quantities for the given circuit… the equivalent resistance the current from the power supply the current through each resistor the voltage drop across each resistor the power dissipated in each resistor Jul 23, 2025 · Parallel Resistor Circuit In the previous resistors in series tutorial, we saw that the total resistance, R T of the circuit was equal to the sum of all the individual resistors added together. 00 2 R3=5. Identify the resistors in series and parallel. We are asked to find the equivalent resistance across the terminals A and B, if the terminal A was positive and terminal B was negative. The two 10Ω resistors on the left and right are in parallel with the 5Ω resistor in the middle. Nov 19, 2017 · By looking at the circuit due to lack of symmetry, it can be said that D,O,B are not at same potential, so what you have done is incorrect if equivalent resistance is to be found across AB. (15 points) Use superposition to find the Thevenin voltage, Vth, across a and b b. A circuit may have more than one resistor present due to which equivalent resistance is evaluated accordingly. Once the equivalent resistance (R_eq) is known, the voltage across each resistor in a series circuit can be found using Ohm's law (V = IR), where I is the current and R is the resistance. (b) Calculate the current through each resistor. Contrast the way total resistance is calculated for resistors in series and in parallel. Check Answer and S. Some light bulbs are connected in parallel to a 120 V source as shown in the figure. This includes various useful methods & techniques to solve equivalent resistance circuits like symmetry, voltage method, etc. 7 ΩΩ , R4R4DR4 = 9 ΩΩ , R5R5DR5 = 35 ΩΩ , R6R6DR6 = 2. 2 ΩΩ , R7R7DR7 = 4 ΩΩ , and R8R8DR8 = 21. (c) Calculate the potential drop across each Thevenin’s Theorem plays a crucial role in simplifying complex electrical networks, making analysis and design significantly more efficient. 55 Ω Rounding to 1 decimal place, the equivalent resistance is 16. A Thevenin equivalent circuit is shown in the image. Explanation:Let the resistors in the upper traingle be R1=4Ω, R2=2Ω and … R-equivalent : 0 About the ERC calculator What is the ERC calculator The ERC (Equivalent Resistance Circuit) calculator takes in your drawn circuit and gives you the equivalent resistance. 0 V. The total equivalent resistance of the arrangement will be ______. Another resistance of 10Ω is connected across the diagonal AC. By reducing an intricate portion of a circuit to a simple equivalent of a single voltage source in series with a resistance, engineers can more easily analyze how the circuit interacts with various loads. (a) Find the equivalent resistance of the circuit below. We will find the open circuit voltage voc, and the short circuit current isc at the terminals a), b). If you’re a student, hobbyist, or engineer, this guide will help you grasp the concept and quickly determine the total resistance using formulas, examples, and our interactive calculator. It is like learning Ohm's law by solving hundreds of equations so you know the mechanics and relationship of current and voltage. Resistors are electrical devices that limit the current flow in a circuit and obey Ohm's law, V = IR. Equivalent resistance is the total resistance of a circuit that simplifies multiple resistors into a single resistor. It is given that R= 1 ωC. A load connected to the original circuit between nodes A and B will see the same voltage, current, and power as a load connected across the output of the Thevenin equivalent. Explain why total resistance of a parallel circuit is less than the smallest resistance of any of the resistors in that circuit. On the other hand, you can also check out our series resistor calculator if you want to learn about resistors in series. current in each device in the circuit. Previously in Lesson 4, the method for determining the equivalent resistance May 30, 2025 · Firstly, to analyse the circuit we have to remove the centre 40Ω load resistor connected across the terminals A-B, and remove any internal resistance associated with the voltage source (s). 5 Ω, R2 = 14. equal to the resistance of resistor B C. 4K subscribers Like Jun 12, 2025 · The 4 \u03A9 resistors at bottom and top horizontal lines combine with 32 \u03A9 and other resistors in series and parallel arrangements. Step 1: Find Thevenin’s resistance While calculating the thevenin’s equivalent resistance, all voltage sources must be turned off, meaning it acts like a short circuit and all current sources act like an open circuit Hint: Let's obtain a quick overview of the wheatstone principle, on which the given problem is based on. Our goal is to figure out how the individual resistances, R 1 and R 2, are related to the overall resistance of the entire circuit. If there are n resistors in a series network, then Equivalent Resistance, Current, and Power in a Series Circuit A battery with a terminal voltage of is connected to a circuit consisting of four and one resistors all in series (Figure 6. In other words : nodes C, D and E all turn out to be at V/2, so you can redraw as a simple parallel circuit. Now we can calculate the equivalent resistance across the point A and B.