(a) Define the term "phase difference" between the alternating voltage and the…

PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current

Problem

(a) Define the term "phase difference" between the alternating voltage and the alternating current in an electrical circuit. (b) Show that the time lag

\Delta t

between the instants when the voltage and current attain their corresponding positive maximum values is related to the phase difference

\phi

and the angular frequency

\omega

of the source by the relation

\Delta t = \dfrac{\phi}{\omega}

. State clearly the assumptions made, if any. (c) An AC source operates at a frequency of

50\,\text{Hz}

. If in a certain circuit the current is observed to lag behind the applied voltage by

30^{\circ}

, calculate the numerical value of the time lag between their positive maxima.

Related theory

AC Circuit Analysis
AC Fundamentals
Alternating current
AC circuits with R, L, C
Phasor representation of AC signals

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