A series RL circuit is connected to a 152V ac source If the

A series RL circuit is connected to a 152-V ac source. If the magnitude of voltage across the resistor is 69 V, find the voltage across the inductor.

Solution

from the magnitude point of view

152^2=RESISTOR VOLTAGE^2+ INDUCTOR VOLTAGE^2

VOLTAGE ACROSS INDUCTOR= SQUARE ROOT OF(152^2-RESISTOR VOLTAGE^2)

VOLTAGE ACROSS INDUCTOR=SQUARE ROOT OF(152^2-69^2)

VOLTAGE ACROSS INDUCTOR=135.436 VOLTS.