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The circuit shown below consists of a 1kΩ resistor connected in series with a 50mH coil, a 10V rms, 10 KHz signal is applied. Find impedance Z in rectangular form.(a) (1000+j0.05) Ω(b) (100+j0.5) Ω(c) (1000+j3140) Ω(d) (100+j3140) ΩThe question was posed to me in an interview for job.My question is taken from Series Circuits in section Complex Impedence of Network Theory

Answer»

Correct ANSWER is (c) (1000+j3140) Ω

To elaborate: Inductive Reactance XL = ωL = 2πfL = (6.28)(10^4)(50×10^-3) = 3140Ω. In RECTANGULAR form, total IMPEDANCE Z = (1000+j3140) Ω.



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