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

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

Step-by-step 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= √(V_R^2 + (V_L^2-V_C^2) )\\\\V= √(65^2 + (140^2-80^2) )\\\\V = √(4225+ 13200) \\\\V = √(17425) \\\\V = 132 \ V`

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