• As such, we would call circuits containing these types of components, nonlinear circuits. Imagine repeating any of these methods over and over again to find what would happen if the load resistance changed changing load resistance is very common in power systems, as multiple loads get switched on and off as needed.

This could potentially involve a lot of work! The Thevenin equivalent circuit, if correctly derived, will behave exactly the same as the original circuit formed by B 1R 1R 3and B 2. In other words, the load resistor R 2 voltage and current should be exactly the same for the same value of load resistance in the two circuits. Calculating the equivalent Thevenin source voltage and series resistance is actually quite easy. First, the chosen load resistor is removed from the original circuit, replaced with a break open circuit :.

Next, the voltage between the two points where the load resistor used to be attached is determined. Use whatever analysis methods are at your disposal to do this.

To find the Thevenin series resistance for our equivalent circuit, we need to take the original circuit with the load resistor still removedremove the power sources in the same style as we did with the Superposition Theorem: voltage sources replaced with wires and current sources replaced with breaksand figure the resistance from one load terminal to the other:.

With the removal of the two batteries, the total resistance measured at this location is equal to R 1 and R 3 in parallel: 0. Notice that the voltage and current figures for R 2 8 volts, 4 amps are identical to those found using other methods of analysis.

Also notice that the voltage and current figures for the Thevenin series resistance and the Thevenin source total do not apply to any component in the original, complex circuit. Just plug in that other value for the load resistor into the Thevenin equivalent circuit and a little bit of series circuit calculation will give you the result. Don't have an AAC account? Create one now. Forgot your password? Click here. Latest Projects Education. Home Textbook Vol. Pages in Chapter 10 What is Network Analysis?

## Find Thevenin's and Norton's Equivalent Circuits

First, the chosen load resistor is removed from the original circuit, replaced with a break open circuit : Determine Thevenin Voltage Next, the voltage between the two points where the load resistor used to be attached is determined. Find the Thevenin resistance by removing all power sources in the original circuit voltage sources shorted and current sources open and calculating total resistance between the open connection points. Draw the Thevenin equivalent circuit, with the Thevenin voltage source in series with the Thevenin resistance.

The load resistor re-attaches between the two open points of the equivalent circuit. Analyze voltage and current for the load resistor following the rules for series circuits.A French engineer, M. L Theveninmade one of these quantum leaps in This theorem is useful to quickly and easily solve complex linear circuits and networks, especially electric circuits and electronic networks.

Any linear electric network or a complex circuit with current and voltage sources can be replaced by an equivalent circuit containing of a single independent voltage source V TH and a Series Resistance R TH. STEP 1. STEP 2. Fig 3. We have already removed the load resistor in figure 1, so the circuit became an open circuit as shown in fig 2. So the same voltage i. Therefore 12V will appear across the AB terminals.

STEP 3. Open current sources and short voltage sources as shown below. Fig 4. STEP 4. We have removed the 48V DC source to zero as equivalent i. STEP 5. This is shown in fig 6 i. Thevenin circuit with load resistor. STEP 6. Now apply the last step i.

## Thevenin’s Theorem for DC Circuits with examples So, I have successfully used Kirchhoff's Voltage law to determine the voltages and currents across each of the resistors in question R2 and R3. However, when I attempt to use Thevenin's Theorem, I don't really know where to start. I understand the logic of Thevenin's theorem, but when I remove 'R2' changing it to A-BI'm not sure how to handle the loop to the right, as it isn't your standard 'two voltage-source' network meeting to go through the 'R2' wire, it has an additional branch.

This has completely thrown me and I can't seem to get any of my answers to match the answers I got when calculating them using Kirchhoff's laws.

I verified my original answers by simulating the circuit on Multi-sim and measuring the current and voltages across R2 and R3, so I know they are correct, however, everything I seem to try using Thevenin's method doesn't match. Please give me some guidance on this. I appreciate your time. My calculations using Kirchhoff's laws show that R2 has a voltage of 3. They also show that R3 has a voltage of 3. The first thing you need to know before proceeding with the Thevenin's equivalent circuit is that the Vth that you find is not the voltage across your resistor R2 in this case.

Having said this I start with finding the Thevenin's resistance Rth. For finding Rth, you need to short the voltage sources. Once you short the voltage sources, you end up with something like this circuit:. Now placing the ohmmeter in the terminals A and B gives you the resistance of 1. This is the required value of Rth. Now in order to find the Thevenin's voltage, you can short one voltage at a time and carry out the calculation to find the voltage across the terminals AB due to each source individually.

Then you can add up the results. I will short the 7V source and find the voltage at AB due to 15V source. Reducing the parallel combination of 2. Simply applying the voltage divider rule gives you the voltage of 3. This is the voltage at AB due to 15V. Similarly analyzing the circuit by shorting 15V, you will get the voltage of 1. Adding these two voltages gives you the total voltage of 5. If you place your 2k resistor at the terminal AB you will get the result same as your simulation. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered.

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Active 1 year, 6 months ago. Viewed times. Niteesh Shanbog 6 6 silver badges 19 19 bronze badges. Sci3 Sci3 3 3 3 bronze badges.Practice Problem 4. Then find I. Questions are typically answered within 1 hour.

Thevenin's theorem dependent source example

A: When length of wire is wound into a coil the effective length decreases so. Q: A moving coil ammeter and a moving iron ammeter are connected in series with arectifier across V Q: Explain C-rate?

Indicate the difference in 0. The battery cap Q: A 2,hp, unity power factor, three-phase,Y-connected, 2,V, pole, Hz synchronousmotor ha Q: Find the equivalent resistance looking into terminals for the network shown in Figure P2. Q: A 20? This parallel combination is connected Q: Find all the prime implicants for the following Boolean functions, and determine which are essential Q: In a parallel RLC circuit, the smaller reactance determines the net.

Operations Management. Chemical Engineering. Civil Engineering. Computer Engineering. Computer Science. Electrical Engineering. Mechanical Engineering. Advanced Math. Advanced Physics. Earth Science. Social Science. Asked Oct 3, Want to see the step-by-step answer? Want to see this answer and more? Tagged in. Engineering Electrical Engineering Circuit Theory. A: Click to see the answer. Terms of Service. All Rights Reserved.The circuit has both independent and dependent sources. In these cases, we need to find open circuit voltage and short circuit current to determine Norton's and also Thevenin's equivalent circuits.

A PDF sheet of this problem with the solution and side space for notes can be downloaded below. Also, you may watch solving this problem on the video posted below. My suggestion is that you print the solution sheet and make notes on it while watching the video.

Open circuit voltage means the voltage across the terminals of the network without connecting any extra element or connection: Since there is no connection, the current of is zero. To solve the circuit lets write KVL for the left hand side loop assuming defined from left to right: But what is?

This means that all current of must pass through. If we apply this to the equation above, we have. Since no current passing through we can easily see that. If it is not clear, you could find this by applying KVL to the right hand side loop:.

Next, we need to find the short circuit current. It means we need to connect terminals of the network and calculate the current passing through the connection: Doing so, we get a circuit with two loops. Just forget all and analyze the new circuit and calculate short circuit current.

Please note that the mesh currents loop currents for not-shared portion of loops are as shown above. For the left hand side loop it is equal to the current of the current source as current sources enforce their current to go through all elements in series with them. For the right hand side loop it is and there is no benefit in defining a new label for current. KVL for the left loop: Again, here the current of is equal to and.

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We get the same value for. This is not a general rule and value could be different.Electrical Academia. The emf of the voltage source is the open circuit emf at the network terminals, and the series resistance is the resistance between the network terminals when are sources are set to zero.

Suppose we are given an arbitrary circuit containing any or all of the following elements: resistors, voltage sources, current sources the source can be dependent as well as independent. Let us identify a pair of nodes, say node a and b, such that the circuit can be partitioned into two parts as shown in figure 1.

Furthermore, suppose that circuit A contains no dependent source that is dependent on a variable in circuit B and vice versa. Then, we can model circuit A by an appropriate independent voltage source, call it V oc that is connected in series with an appropriate resistance, call it R TH.

Circuit B which is often called a load may consist of many circuit elements, a single element a load resistoror no element. This voltage, as shown in figure 3 ais V oc. A zero voltage source is equivalent to a short circuit, and zero current source is equivalent to an open circuit. Short-circuit the terminals a and b then find the short-circuit current I sc. The Thevenin equivalent resistance is given by. When the source network has a ladder structure and contains no controlled dependent sources, R TH is easily found by series-parallel reduction of the dead network.

Here, the dead source network has been connected to an external test source. This test source may be any independent voltage or current source that establishes v o at the terminals. Since the dead network contains only resistors and controlled sources, and since R TH equals the equivalent resistance of the dead network, the equivalent resistance theorem tells us that.

Find Thevenin equivalent circuit of the following network. By applying nodal voltage method. To find short circuit current, we short-circuited terminals a and b as shown in the following figure:. Again using nodal voltage method. Now, we have following equivalent circuit:. Consider a circuit shown in the following figure. We will determine V th and R th across terminals a and b of the circuit. Applying KCL at node Hot Threads.

Find the Thevenin's Equivalent for the following circuits.

### Network Theory - Thevenin’s Theorem

Homework Statement: 3 Find the Thevenin equivalent of the following circuit: i. I have actually already written out and solved for my own solutions to these problems, but I was wondering if I could get a second opinion on my solutions: For Problem 3: For Problem NASA expert IDs mystery object as old rocket Geologists solve puzzle that could predict valuable rare earth element deposits Scientists find upper limit for the speed of sound.

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In future, please post each problem in separate posts. This is PF policy. We find that this avoids "crosstalk" confusion when multiple people are engaged with different problems in the same thread.

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For your first problem the Thevenin resistance looks okay but the Thevenin voltage does not. AlphaLibrae said:. Insights Author. Gold Member. Log in or register to reply now!

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