Question

For what absolute value of the phase angle does a source deliver $75\%$of the maximum possible power to an RLC circuit?

Short answer

The phase angle of RLC circuit is$30°$.

Step-by-step solution

Given Information

We are given that the source deliver is $75\%$.

and We have to find out the phase angle of RLC circuit.

Formula Used

Now use the formula,

$P=\left(I_{rms}\right)\left(V_{rms}\right){\cos }^2\varphi$

where $P=75\%$

and $P=\frac{75}{100}{P}_{rms}$let this be equation 1.

Simplify

Put the value of $P_{rms}$in equation 1

We get role="math" localid="1649874818548" $P=0.75\left(I_{rms}\right)\left(V_{rms}\right)$let this be equation 2

on comparing equation 1 and 2,

We get,

$0.75={\cos }^2\varphi$

On solving this we get,

$\varphi =30°$

The phase angle of RLC circuit is$30°$.