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Chapter 32: Q. 39 (page 925)

A series RLC circuit with a 100惟resistor dissipates 80Wwhen attached to a 120V/60Hzpower line. What is the power factor?

Short Answer

Expert verified

The power factor of RLC circuit is0.556.

Step by step solution

01

Given Information

We are given that the resistor R=100惟, dissipating power P=80Wand the voltage V=120V.

We have to find out the power factor of the RLC circuit.

02

Formula Used

Now, using the formula,

P=V2R脳Pflet this be equation 1

where P is power, V is voltage , R is resistor and Pfis power factor.

03

Simplify

Now put the values of all variables in equation 1,

We get 80=(120)2100Pf

On rearranging,

We get, Pf=80脳100(120)2

On solving,

Pf=0.556

The power factor of RLC circuit is0.556.

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