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Question

Physics Question on Alternating current

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

A

R and L

B

L and C

C

R and C

D

only R

Answer

R and L

Explanation

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 ϕ\phi, where


tanϕ=AKOA=OLOA\tan \phi = \frac{ AK}{ OA} = \frac{ OL}{ OA}
=VLVR=I0XLI0R= \frac{ V_L}{ V_R} = \frac{ I_0 \, X_L}{ I_0 R}
tanϕ=XLR\therefore tan \, \phi = \frac{ X_L}{ R}