Question

An LRC circuit has a resistor of 1723 ohm's and a capacitor of 0.004039 farads with an inductor of 0.516 henry's. If this circuit is connected to a 97 volt source and 874 Hz. What is the Phase Angle?

Answer 1

Answer:

The phase angle is 58.69761° or  1.02447 rad for a series RLC circuit.

The phase angle is -90° or -1.57077 rad for a parallel RLC circuit.

Explanation:

Series RLC circuit phase determination

$omega =2 * pi * f  $

$∅= arctan{(2*pi*f*L-1/(2*pi*f*C)/R)}$

$arctan((2*pi*874*0.516 - 1 / (2*pi*874*0.004039))/1723) = 1.0244$

Parallel

$arctan{(R (1/(2*pi*f*L) - 2*pi*f*C))}$

$arctan{( 1723 (1 / (2*pi*874*0.516) - 2*pi*874*0.004039)) }=-1.5707$