Circuit Theorems in AC Analysis

Referring to the given figure, determine Z_TH as seen by R_L if R₁ is changed to 3.3 k.

A 1488

–70.7°

B 3859

–31.2°

C 5180

–50.5°

D 1828

–50.2°

ANS:D - 1828–50.2°

Yes Option D is correct.

Zeq 1 = 3.3+j2 = 3.86(-31.28' k ohm.)

Zeq 2 = Zeq 1 parallel with Xc2 = 3.86(-31.28*2)(-90/3.86)(-31.28+2)(-90) = 1.488(-70.8' k ohm.)

Zth = 1488(-70.7+6800) = 1829(-50.1' ohm.)

Or 1717-j1404 ohm.

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