Phase in AC Circuit with Resistor and Inductor – Rankers Physics
Topic: Alternating Current
Subtopic: LR, RC and LCR Circuits

Phase in AC Circuit with Resistor and Inductor

Consider an a.c circuit having resistor of resistance \( R \) and an inductor having reactance \( X_L \). If voltage leads the current by an angle \( 60^\circ \), then
\( X_L = R \)
\( X_L = 2R \)
\( X_L = \sqrt{3}R \)
\( X_L = \sqrt{2}R \)

Solution:

In an inductive-resistive (RL) series circuit, the phase angle \( \phi \) is given by \( \tan \phi = \frac{X_L}{R} \). Since \( \phi = 60^\circ \), \( \tan 60^\circ = \frac{X_L}{R} \implies X_L = \sqrt{3}R \).

Leave a Reply

Your email address will not be published. Required fields are marked *