Choose the correct option. If the rms current in a 50 Hz AC circuit is 5A, the value of the current $\frac{1}{300}$ seconds after its value becomes zero is ______.

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If the rms current in a 50 Hz AC circuit is 5A, the value of the current $\frac{1}{300}$ seconds after its value becomes zero is 5sqrt($\frac{3}{2}$) A. Explanation: Substitute the given values from, Frequency = f - 50 Hz .....(1) Current = I = 5A ......(2) Time = $\frac{1}{300}$ S .....(3) Let I_O be the peak value Therefore, I_O = sqrt(2)I .....(4) Put the values in equation (2) and (4) and calculate: I_O = sqrt(2) xx 5 I_O = 5sqrt(2)A ......(5) ∵ I = I_0 sin(wt)` ......(6) Put the values in equations (3), (5) and (6) and calculate: Also, `I = 5sqrt(2) xx sin(2pi f xx $\frac{1}{300}$) I = 5sqrt(2) xx sin(100pi xx $\frac{1}{300}$) I = 5sqrt(2) xx sin 60 I = 5sqrt(2) xx sqrt(3)/2 I = 5 xx sqrt(3)/sqrt(2) A`

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