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A resistance of 20Ω is connected to a source of an alternating potential V=220 sin 100 πt. The time taken by the current to change from the peak value to rms value is

a
0.2 s
b
0.25 s
c
25 s
d
2.5×10-3s

detailed solution

Correct option is D

Both B and I are is same phase. So, let us calculate the time taken by the voltage to change from peak value of rms value.Now, 220=220 sin 100 πt1or 100 πt1=π2  or t1=1200sAgain, 2002= 200 sin 100 πt2or 12=sin 100πt2  or  100πt2=π4or  t2=1400sRequired time = t1 - t2=1200-1400=2-1400=1400s=2.5×10-3s

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