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In the circuit given below, the input impedance ZIN of the circuit is _________(a) 0.52 – j4.30 Ω(b) 0.52 + j15.70 Ω(c) 64.73 + j17.77 Ω(d) 0.3 – j33.66 ΩThe question was posed to me in quiz.My doubt stems from Dot Convention in Magnetically Coupled Circuits topic in chapter Resonance & Magnetically Coupled Circuit of Network Theory

Answer» CORRECT choice is (c) 64.73 + j17.77 Ω

The BEST I can explain: ZIN = (-6J) || (ZA)

ZA = j10 + \(\FRAC{12^2}{(j30+j6-j2+4)}\)

= 0.49 + j5.82

ZIN = \(\frac{(-j6)(0.49+j5.82)}{(-j6+0.49+j5.82)}\)

= 64.73 + j17.77 Ω.


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