Reactance

Step 1: Power factor formula.
The power factor

%5Ccos%20%5Cphi

is given by:

%5Ccos%20%5Cphi%20%3D%20%5Cfrac%7BR%7D%7BZ%7D

where

R

is the resistance and

Z

is the impedance of the circuit.

Step 2: Calculate impedance.
The impedance is given by:

Z%20%3D%20%5Csqrt%7BR%5E2%20%2B%20X%5E2%7D%20%3D%20%5Csqrt%7B3%5E2%20%2B%204%5E2%7D%20%3D%205%20%5C%2C%20%5COmega

Thus, the power factor is:

%5Ccos%20%5Cphi%20%3D%20%5Cfrac%7B3%7D%7B5%7D%20%3D%200.6

Thus, the correct answer is (2).

Chapter Questions
1 MCQs