Electro Magnetic Induction And Alternating Currents Question 63

Question: The power factor of an ac circuit having resistance (R) and inductance (L) connected in series and an angular velocity $ \omega $ is [AIEEE 2002; MP PET 2000]

Options:

A) $ R/\omega L $

B) $ R/{{(R^{2}+{{\omega }^{2}}L^{2})}^{1/2}} $

C) $ \omega L/R $

D) $ R/{{(R^{2}-{{\omega }^{2}}L^{2})}^{1/2}} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \cos \varphi =\frac{R}{Z}=\frac{R}{{{(R^{2}+\omega L^{2})}^{1/2}}} $



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