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Q.

A resistance of 20 ohms is connected to a source of an alternating potential V=220 sin (100 πt) The time taken by the current to change from its peak value to r.m.s. value is

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a

0.2 sec

b

0.25 sec

c

25×10−3 sec

d

2.5×10−3 sec

answer is D.

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Detailed Solution

Peak value to r.m.s. value means current becomes 12 times.So from i = i0 sin 100 πt⇒12×i0=i0sin 100 πt⇒sinπ4=sin100πt⇒t=1400sec=2.5×10−3 sec

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