Thevenin's Problem: Solve for Voltage, Current, Power

In summary, the conversation discusses removing a load resistance and calculating the voltage and source impedance at a specific point. The first step is to remove RL and calculate the voltage at the junction between 20Ω and 30Ω. Then, the source impedance is found by multiplying the two resistances and dividing by their sum. The next step is to find the voltage and source impedance at point A with RL still disconnected.
  • #1
merchant
2
0

Homework Statement



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Homework Equations


V=IR
P=I^2R
maximum power when load resistance = thevenin's resistance

The Attempt at a Solution


I have been able to work out the new load resistance but none of the other values correctly.
 
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  • #2
1. Remove RL. Now the voltage at the junction between 20Ω and 30Ω is [itex]\frac{30\Omega}{(20+30)\Omega}\cdot 15V = 9V [/itex] with a source impedance of [itex] 20\Omega \left\lvert \right\rvert 30\Omega =\frac{20\cdot 30}{20 + 30}\Omega[/itex]...
 
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  • #3
Svein said:
1. Remove RL. Now the voltage at the junction between 20Ω and 30Ω is [itex]\frac{30\Omega}{(20+30)\Omega}\cdot 15V = 9V [/itex] with a source impedance of [itex] 20\Omega \left\lvert \right\rvert 30\Omega =\frac{20\cdot 30}{20 + 30}\Omega[/itex]...

Thank you for your reply, also how do you calculate the other values
 
  • #4
merchant said:
Thank you for your reply, also how do you calculate the other values
I have given you the first steps. Now try the next: With RL still disconnected, find the voltage and the source impedance at point A.
 

1. What is Thevenin's theorem and why is it important in circuit analysis?

Thevenin's theorem states that any linear circuit can be represented by an equivalent circuit with a single voltage source and a single resistance in series. It is important in circuit analysis because it allows for easier calculation of voltage, current, and power in a complex circuit by simplifying it into a single source and resistance.

2. How do you solve for Thevenin voltage and resistance?

To solve for Thevenin voltage and resistance, you must first remove all sources from the circuit and determine the open circuit voltage (Voc) at the load terminals. Then, calculate the equivalent resistance (Req) by shorting all voltage sources and removing all current sources. The Thevenin voltage is equal to Voc and the Thevenin resistance is equal to Req.

3. Can Thevenin's theorem be used for non-linear circuits?

No, Thevenin's theorem only applies to linear circuits. Non-linear circuits have varying resistance based on the voltage or current, making it impossible to simplify into a single source and resistance.

4. How do you calculate the power in a Thevenin equivalent circuit?

The power in a Thevenin equivalent circuit can be calculated by using Ohm's Law (P=VI), where V is the Thevenin voltage and I is the current flowing through the equivalent resistance. Alternatively, you can also use the formula P=V^2/R, where V is the Thevenin voltage and R is the Thevenin resistance.

5. What are the limitations of Thevenin's theorem?

Thevenin's theorem is limited to linear circuits and cannot be used for non-linear circuits. It also assumes that all components in the circuit are independent, meaning that changing one component will not affect the others. Additionally, Thevenin's theorem is only applicable to DC circuits and cannot be applied to AC circuits.

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