What is the Thevenin equivalent impedance of the circuit shown in the figure?
F2 Vinanti Engineering 11.10.23 D1

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UPSC ESE (Prelims) Electronics and Telecommunication Engineering 19 Feb 2023 Official Paper
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  1. 12.4 - j3.2 Ω
  2. 12.4 - j2.2 Ω
  3. 11.4 - j3.2 Ω
  4. 11.4 - j2.2 Ω

Answer (Detailed Solution Below)

Option 1 : 12.4 - j3.2 Ω
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Detailed Solution

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To find a and b.

Given that R1 = 6\(\Omega\)

R2 = 10\(\Omega\)

L = j2 \(\Omega\)

C = -j4\(\Omega\)

V =100\(\angle\)20 º

Zeq = R1 + (R2|| (C+L)

Zeq = R1+\(\frac{R_2\cdot(C+L)}{R2+(C+L)}\)

= 12.4-j3.2\(\Omega\)

Here, option 1 is correct.

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