Two step-down transformers supply sinusoidal voltages to identical loads

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

Problem

Two step-down transformers supply sinusoidal voltages to identical loads. Their secondary voltages are

v_1=220\sqrt{2}\,\sin(314t)

volts and

v_2=220\sqrt{2}\,\sin\!(314t+\tfrac{\pi}{3})

volts, with

t

in seconds. (i) Calculate the phase difference between

v_1

and

v_2

in (a) radians and (b) degrees. (ii) Determine the corresponding time lag between the two voltages. (iii) Find the earliest positive time (other than

t=0

) at which the two voltages become equal again.