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An ac voltage is represented by $E=220\sqrt{2}\mathrm{cos}\left(50\pi \right)t$. How many times will the current become zero in 1 s?

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a

50 times

b

100 times

c

30 times

d

25 times

detailed solution

Correct option is A

E=E0 cosωt∴ ω=50π2πf=50π⇒f=25 HzIn one cycle ac current becomes zero twice.Therefore, 50 times the current becomes zero in 1 s.

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