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}}} $