Question

A resistor, inductor, and capacitor are connected in series, each with effective (rms) voltage of 65 V, 140 V, and 80 V respectively. What is the value of the effective (rms) voltage of the applied source in the circuit

Answer 1

Answer:

The value of the effective (rms) voltage of the applied source in the circuit is 132 V

Explanation:

Given;

effective (rms) voltage of the resistor, $V_R$ = 65 V

effective (rms) voltage of the inductor, $V_L$ = 140 V

effective (rms) voltage of the capacitor, $V_C$ = 80 V

Determine the value of the effective (rms) voltage of the applied source in the circuit;

$V= \sqrt{V_R^2 + (V_L^2-V_C^2} )\\\\V= \sqrt{65^2 + (140^2-80^2} )\\\\V = \sqrt{4225+ 13200} \\\\V = \sqrt{17425} \\\\V = 132 \ V$

Therefore, the value of the effective (rms) voltage of the applied source in the circuit is 132 V.