1. Tardigrade
  2. Question
  3. Physics
  4. ln an AC circuit, the current lags behind the voltage by π/3. The components of the circuit are

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. ln an AC circuit, the current lags behind the voltage by $\pi$/3. The components of the circuit are

MHT CETMHT CET 2006Alternating Current

Solution:

Since, current lags behind the voltage in phase by a constant angle, then circuit must contain R and L.
We find that in R-L circuit, voltage leads the current by a phase angle $\phi$, where
image
$\tan \phi = \frac{ AK}{ OA} = \frac{ OL}{ OA} $
$ = \frac{ V_L}{ V_R} = \frac{ I_0 \, X_L}{ I_0 R} $
$\therefore tan \, \phi = \frac{ X_L}{ R} $

Solution Image