Electro Magnetic Induction And Alternating Currents Question 5

Question: An alternating current of frequency $ ‘f,’ $ is flowing in a circuit containing a resistance R and a choke L in series. The impedance of this circuit is [CPMT 1978; MP PMT 1993; MP PET 1999; AIIMS 2000; Pb. PET 2004; RPET 2001, 03]

Options:

A) R + 2pfL

B) $ \sqrt{R^{2}+4{{\pi }^{2}}f^{2}L^{2}} $

C) $ \sqrt{R^{2}+L^{2}} $

D) $ \sqrt{R^{2}+2\pi fL} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ Z=\sqrt{R^{2}+X_{L}^{2}},\ \ X_{L}=\omega L $ and $ \omega =2\pi f $
$ \therefore Z=\sqrt{R^{2}+4{{\pi }^{2}}f^{2}L^{2}} $



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