Question

Find the Thevenin's impedance in rectangular form for the circuit external to Z_L if Vs=10∠0, XL=j250, XC1=-125, XC2=-200, R=40.

A B
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XC1 XC2
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XL Vs Z_Load
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E E T

Answer 1

To find the Thevenin's impedance for the circuit, calculate the equivalent reactance of the capacitors and use it with the inductive reactance and resistance in the impedance formula to get the Thevenin equivalent impedance in rectangular form.

Step-by-step explanation:

To find the Thevenin's impedance of a circuit external to ZL given the values Vs=10∠0, XL=j250, XC1=-j125, XC2=-j200, R=40, we first need to calculate the equivalent impedance of the capacitors in parallel, XCeq. Using the formula 1/XCeq = 1/XC1 + 1/XC2, we compute the parallel reactance of the capacitors. Once this is found, we can then calculate the Thevenin's impedance in rectangular form using the formula ZTh = √(R² + (XL - XCeq)²), which yields the overall impedance of the RLC circuit containing resistance, inductive reactance, and capacitive reactance.