Questions tagged [superposition]

The superposition theorem states that the output of a linear circuit composed of multiple independent sources is the algebraic sum of the outputs due to each independent source alone. Use this tag for questions about circuit analysis using the superposition theorem.

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Superposition in state space equation with multiple harmonics in the inputs

I have a question related to the superposition in state space equation. Suppose I have a state space equation below \begin{equation} \frac{d}{dt}X = AX + B\begin{bmatrix} u_1(t)\\ u_2(t) \\ \end{...
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(AC circuits) Why do I need to use the superposition theorem when dealing with two or more different sources with different frequencies?

Consider: I know that the elements would have different impedances under different frequencies, but I can’t really visualize it. Also, is there another way to analyze the circuit (other than ...
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Apply superposition principle to compute current in the 2 Ω resistor

So in this question what I tried to do was first remove the 6A source and then try to apply the current divider rule according to which the current I = 24 x (4/12) = 8A and then remove the 24A source ...
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5 answers
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What is wrong with this circuit analysis?

I have a super simple question about using superposition to solve this circuit and it looks like I am running into a misconception about why my analysis is wrong. I have attached a simple circuit with ...
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How to do mesh analysis when 2 mesh are sharing the same voltage?

I was doing superposition theorem and trying new numericals and then I came across this problem..should I write "9 volts or 9(IsubA-IsubB)" in mesh 1?
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Finding the contribution of a voltage source

So i am trying to find the contribution of the voltage source in the circuit shown across the 3 ohms resistor. Do I need to include the two 2 ohm resistors even though there is no path that starts at ...
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-2 votes
1 answer
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Big confusion about the very fundamentals of circuit analysis

First, let's call IR3 the current flowing from A to B, IR4 the current flowing from B to C, IR5 the current flowing from C to (-V2). What's the proof that IR3>0, IR4>0 and IR5>0? I know this ...
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3 votes
3 answers
461 views

Intuition behind the superposition theorem

Consider a circuit with only batteries and resistors. Suppose we choose a resistor at random. Then to find the amount of current through this resistor, we can do it by finding the contribution of each ...
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4 votes
6 answers
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Why does Andy aka's calculation work in this case?

This question is from a confusion from this thread. Assume that you have the opamp circuit shown below. Also assume that the opamp is ideal and you don't know the value of ...
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Superposition Principle: Parallel Resistance in a current source

Good Day, I would like to ask a question regarding the superposition principle particularly when the current source is the only one active. The solution to this question is that when the current ...
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1 answer
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How to calculate the voltage drop in this case?

I started with the superposition principle. For Vcc, Ib is open circuit and Eg is shorted. I got that the voltage drop due to Vcc is 10000/3 V. For Ib, Eg is shorted as well as Vcc. Since Ib is dc ...
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How do I find Vo in this circuit using superposition?

simulate this circuit – Schematic created using CircuitLab I have to find vo in this through superposition. I found the current using a test source of 1V like so: simulate this circuit By doing ...
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1 answer
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Can someone give me some insight on how to simplify this problem?

It is hard for me to understand how to start solving this problem. Should I start using the superposition theorem? Can it be simplified before?
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Trying to find voltage v across resistor

I can find the equivalent Thevenin resistance, but am unsure where to assume ground/how to do nodal analysis (what is the rule) when the current source is passing through the voltage source. When I do ...
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Solving a circuit using Thevenin's theorem and superposition

I have the following circuit in an example problem from a book, where it shows you how to find the Rth and the Vth. The Vth has to be found via superposition. The Rth solution is Rth = 103/77R, which ...
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Method of superposition

I need help solving this task, if anyone had a similiar problem it would help me. The task is: Determine the power dependence for an electrical circuit current through the receiver Rp in relation to ...
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2 answers
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I get different results whenever I try to solve this circuit problem with superposition theorem. Can you please help?

My recent results are like this: i= 11,174 the current exiting from Vg= 3,304 V=53,1 I am doing something very wrong but I can't see it. My values even don't correct each other. Another thing is if I ...
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1 vote
1 answer
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Find the Norton equivalent of circuit using superposition

Exercise 3.23a of Kaufman, 2005: Find the Norton equivalent of the circuit in Figure 3.125: I've run into some trouble when answering this question. The Norton equivalent resistance is clearly \$R_N=...
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Is my current flow annotations correct?

I have this circuit given and we're asked to get the contribution of the 75V source to iR using superposition. The yellow and red line in the picture are my assumed current flow. However, I couldn't ...
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1 vote
2 answers
111 views

Superposition theorem problem

The task is to calculate i here, and the answer is 0.5A (specifically -0.5 due to its direction) but I have no idea how to get that. I've tried separate calculations of the circuit with only 1 voltage ...
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Validity of superposition when summing powers from each harmonic

In Boylestad's Introductory Circuit Analysis 13th edition page 1176, there's an example about working out the total power dissipated by a circuit fed a nonsinusoidal signal. The signal is decomposed ...
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How can adding a reflector to a half-wave dipole (in a Yagi Uda antenna) increase the gain by more than 3dB?

I have been designing a Yagi Uda antenna using CST Microwave Studio. For a half-wave dipole the directivity (at 1.3GHz) was 2.116dBi. After I added a Reflector, the directivity improved to 6.074dBi. ...
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How do you do superposition to find value of voltage source [closed]

I know when you are using superposition you have to find the contribution of each independent source. You do this by turning voltage sources to short circuit and current sources to open circuit. then ...
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3 answers
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How to find total voltage in a two loop circuit

I've been going through the DC Theory textbook by NJATC to learn basic electronics so I can better enjoy my guitar tinkering. But I also want to be able to repair or maybe even build effect pedals and ...
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6 votes
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Why is the verification of Thevenin's theorem more accurate than that of Superposition theorem?

In my first course on Electrical Engineering, we have an experiment in the Electrical lab that asks us to verify the Thevenin theorem and the Superposition theorem and cross-check our results with our ...
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1 answer
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Is superposition theorem the only method to calculate the \$I_0\$ in this circuit?

When I learned the superposition theorem, the book provided this circuit to me, and taught me how to use the superposition theorem to find the value of \$I_0\$: simulate this circuit – ...
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How do I get v0 using superposition in this circuit?

I'm trying to get the value of \$V_o\$ in this circuit. Here's the circuit: Using Superposition theorem: So first, we remove the voltage source and replace it with a short circuit. Then we calculate ...
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2 votes
2 answers
362 views

Superposition principle and op-amp

I was trying to answer these questions (picture below) but I am not sure if I did a good job. The way that I solved it is shown on this picture below: At the inverting part of the op-amp where the ...
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3 answers
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How to do i solve this electrical circuit? [closed]

I've been trying to solve this circuit with two current sources: Following is given: ia = 1mA, ib = 2mA R1 = 1K, R2 = 0.5K, R3 = 2.2K, R = 4.7K Personally I've been trying to use KCL to determine ...
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1 answer
488 views

Substitution + Superposition with RLC circuits

Consider the following circuit: simulate this circuit – Schematic created using CircuitLab \$E\$ is a constant voltage source. The switch is closed at time \$t = 0\$. The request is to ...
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Finding missing current and voltage in a circuit involving superposition

We are given a black box that contains only linear circuit elements and a pair of ports. We conduct the following two experiments with this black box. With the right port open, we applied V1 = 2V to ...
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317 views

Superposition principle and voltage division

I am looking at some circuit solving using the superposition principle and I came across this one. We need to find \$v_0\$. My thought would be to use superposition and voltage division in the ...
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Is there a paradox in the superposition principle?

I came across this problem for the first time when I started thinking about the clever circuit of Howland current source (see What is the brilliant idea behind the Howland current source?). Let me ...
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3 answers
3k views

Kirchhoff’s Law and Superposition Theorem

For the given circuit I found the current and the voltage at R1, R2, R3, using the superposition theorem. 1.I replaced the VS2 with a short then calculated: I1= 0.57mA, I2=0.33mA, I3=0.2mA, V1= 2.68V, ...
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2 answers
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Total Dissipated Power

Please help look into to the below question where total dissipated power is to be calculated. In the solution given in the text they have added the under root of the power and then squared the result. ...
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Superposition theorem with phasors [duplicate]

Can someone explain the superposition theorem step by step when applied with phasors (AC circuits)? I think books and websites mostly include examples of how to solve something with superposition but ...
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2 answers
114 views

Simple questions about current flow and superposition

So I was doing this exercise to prepare (not homework, school hasn't even started yet), and I think I got the math and the logic right, but there are a few things that I didn't understand, and since ...
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1 answer
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How to solve this task that relates to method of superposition

The task looks quite simple it says: Find the current that ammeter shows. \$ R = X_c = 10 Ω \$ \$ X_L = 20 Ω\$ The picture of circuit: I tried to solve it using method of superposition: In ...
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2 answers
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answer verification for Superposition question

I am trying to solve the superposition question, but unsure of the answer. If possible, please help.
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2 answers
299 views

Thevenin's Theorem: Why is there a \$R_{th}\$

Consider a linear mess present inside the box, simulate this circuit – Schematic created using CircuitLab If there's a voltage drop \$v\$ across the load, then why cant we simply replace the ...
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1 vote
3 answers
240 views

Why is the frequency of the response same as that of the forcing function in a linear circuit?

Why is the frequency of the response same as that of the forcing function in a linear circuit? What's the case when the circuit isn't linear?
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1 vote
2 answers
355 views

Superposition with dependent sources

If the value of a dependent source (say CCCS) depends on the value of an independent source (say a current source). When setting the current source to 0, would that make the CCCS an open circuit (i.e. ...
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Thevenin's theorem equivalent circuit

I had an homework to do for school. One of the questions of this homework was to find the equivalent of a circuit using Thevenin's theorem. Unfortunately, my teacher told me that I didn't get the ...
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3 votes
2 answers
706 views

Intuition on Thevenin's Theorem

In the following lecture by Prof. Anant Agarwal at 36:00, he intuitively proves Thevenin's Theorem using the following circuit simulate this circuit – Schematic created using CircuitLab If ...
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1 answer
106 views

Why superposition theorem has not been executed here?

Here is the given circuit In this problem while finding V1 we didn’t took the voltage contribution at that point by Vo(Superposition theorem)Only current source Is has been used to find the voltage at ...
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-1 votes
1 answer
168 views

Under which specific (formal) conditions can I apply the superposition theorem?

Superposition theorem fails when you have two ideal (identical) voltage sources in parallel. Under which specific constraints can I apply it? I have read that, in DC Circuits, superposition requires ...
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437 views

Differential amplifier, superposition theorem, output derivation, what is a loop here?

So based on this article, when V1 is removed/grounded, in this picture. Is the loop number 1 drawn correctly? Or does R3 and R4 both belong to the same loop? I'm not sure how Vout2 was calculated. It'...
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How to find the current in this circuit?

Please help me find the current flow in A1,A2 and A3. its my First FEE class and I was able to solve this with voltage source but with current source Iam Having trouble. also V1 and V3 are the ...
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2 answers
179 views

Decomposing a waveform in LTspice to view only the transient component

In electric-circuit theory due to superposition for an LTI system, the voltage can be thought such that it is sum of of a transient response plus a steady state response. For example below the ...
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1 answer
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How to solve a circuit network involving a resistor parallel to a voltage source using only nodal analysis?

I have been stuck on this for the past week and this week i just dont seem to find out what am i doing wrong. Please help me spot my mistake. Here you can find My circuit on multisim. Please provide ...
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