Electro Magnetic Induction And Alternating Currents Question 180

Question: A coil of inductive reactance $ 31,\Omega $ has a resistance of $ 8,\Omega $ . It is placed in series with a condenser of capacitive reactance $ 25,\Omega $ . The combination is connected to an a.c. source of 110 volt. The power factor of the circuit is

Options:

A) 0.64

B) 0.80

C) 0.33

D) 0.56

Show Answer

Answer:

Correct Answer: B

Solution:

  • Power factor, $ \phi =\frac{R}{\sqrt{{{( \omega L-\frac{1}{\omega C} )}^{2}}+R^{2}}} $ $ =\frac{8}{\sqrt{{{(31-25)}^{2}}+8^{2}}}=\frac{8}{\sqrt{6^{2}+8^{2}}}=\frac{8}{10}=0.8 $


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