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Determine Z in the figure shown below.

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Determine Z in the figure shown below.

(a) 26∠-20.5⁰

(b) 26∠20.5⁰

(c) 25∠-20.5⁰

(d) 25∠20.5⁰

I had been asked this question during an online interview.

This intriguing question comes from Parallel Circuits in chapter Complex Impedence of Network Theory

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The correct option is (b) 26∠20.5⁰

To explain: First the inductive reactance is calculated. XL=6.28 x 50 x 0.1 = 31.42Ω. In figure the 10Ω resistance is in series with the parallel combination of 20Ω and j31.42Ω. ZT = 10 + (20)(j31.42)/(20+j31.42)=24.23+j9.06=25.87∠20.5⁰.

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