Thevenin AC Circuit Homework: Solve & Analyze Results

Overall, the results are still relatively close and the slight difference in phase angles could be due to rounding or other factors. Ultimately, it's best to double check the steps and calculations to ensure accuracy. In summary, the conversation discusses using Thevenin, series, and parallel equations to find the Thevenin Voltage in a circuit. The attempted solution involves finding the equivalent resistance and using nodal analysis, resulting in slightly different voltage values. It is possible that there is an error in the book's solution, and it is recommended to double check the calculations for accuracy.
  • #1
dwn
165
2

Homework Statement



Image Attached

Homework Equations



Thevenin, Series, Parallel

The Attempt at a Solution



j10(12-j34) / (j10+12-j34) = (340 + 120j) / (12/j24)

1.67 + j13.3 or 13.44∠82.4°

Now why can't I just use this equivalent resistance and multiply by the current source (22∠30°) to find the Thevenin Voltage? The result of doing this is 295.68∠112.8°V. Instead, the book uses Nodal Analysis to find VTH, which results in 295.3∠115.889°V.
Why do the voltages roughly match, but the phase angles do not? Do you think book made mistake?
 

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  • #2
dwn said:

Homework Statement



Image Attached

Homework Equations



Thevenin, Series, Parallel

The Attempt at a Solution



j10(12-j34) / (j10+12-j34) = (340 + 120j) / (12/j24)

1.67 + j13.3 or 13.44∠82.4°

Now why can't I just use this equivalent resistance and multiply by the current source (22∠30°) to find the Thevenin Voltage? The result of doing this is 295.68∠112.8°V. Instead, the book uses Nodal Analysis to find VTH, which results in 295.3∠115.889°V.
Why do the voltages roughly match, but the phase angles do not? Do you think book made mistake?

Your analysis looks okay. It's quite possible for a text to have a typo or mistake. If the book presents all the steps of their solution, perhaps you can spot where their error has occurred.
 

1. What is a Thevenin AC circuit?

A Thevenin AC circuit is a type of circuit that is used to analyze the behavior of a circuit under alternating current (AC) conditions. It is a simplified representation of a complex circuit that can be used to determine the voltage, current, and power at any point in the circuit.

2. How do I solve a Thevenin AC circuit homework problem?

To solve a Thevenin AC circuit homework problem, you will need to follow a few steps. First, identify the circuit components and their values. Then, use Kirchhoff's laws to analyze the circuit and determine the equivalent Thevenin voltage and resistance. Finally, use Ohm's law and other circuit analysis techniques to solve for the desired values.

3. What are the benefits of using Thevenin AC circuits?

Thevenin AC circuits offer several benefits, including simplifying the analysis of complex circuits, providing a more accurate representation of the circuit behavior, and allowing for easier calculation of voltage, current, and power at any point in the circuit.

4. What are some common mistakes to avoid when solving Thevenin AC circuit problems?

Some common mistakes to avoid when solving Thevenin AC circuit problems include incorrectly identifying the circuit components and their values, not properly applying Kirchhoff's laws, and using incorrect formulas or units in calculations. It is also important to double-check your calculations and make sure they are consistent with the given circuit parameters.

5. How can I check my results for accuracy in a Thevenin AC circuit homework problem?

To check your results for accuracy, you can use a circuit simulator or verify your calculations using a different method, such as nodal analysis or mesh analysis. It is also helpful to check if your results make sense in the context of the given circuit and to compare them to the expected values.

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