Question

if the power factor of a R-L series circuit is 1/2 when applied voltages is V=100 sin 100 t volt & resistance of the circuit is 200 ohm then calculate the inductance of the ciruit
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Answer 1

Explanation:

Where,

VR = IR and VL = IXL where XL = 2πfL.

Where,

The equation of current I is given as:

Then the instantaneous power is given by the equation:

Putting the value of v and i from the equation (1) and (2) in the equation (3) we will get.

Where cosϕ is called the power factor of the circuit.