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Determine total impedance in the circuit shown below.

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Determine total impedance in the circuit shown below.

(a) 25∠-58.8⁰

(b) 25∠-58.8⁰.

(c) 26∠-58.8⁰.

(d) 26∠58.8⁰.

The question was posed to me by my school principal while I was bunking the class.

Question is from Parallel Circuits topic in division Complex Impedence of Network Theory

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Right answer is (c) 26∠-58.8⁰.

Easy explanation: The current lags behind the voltage by 58.8⁰. Total impedance Z = VS/IT = 20∠0⁰ / 0.77∠-58.8⁰ = 25.97∠-58.8⁰Ω. So the total impedance in the circuit shown is 25.97∠-58.8⁰Ω.

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