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  • If the rms current in a 50 Hz ac circuit is 5 A, the value of the current 1/300 seconds after its value becomes zero is a. 5\sqrt{2}A b.5\sqrt{\frac{3}{2A}}

 If the RMS current in a 50 Hz ac circuit is 5 A, the value of the current 1/300 seconds after its value becomes zero is

a. 5\sqrt{2}A
b.5\sqrt{\frac{3}{2A}}

c.\frac{5}{6A}

d.\frac{5}{\sqrt{2}A}

Answers (1)

The answer is the option (b)
I=I_0 \sin \omega t\\It \:is \:given\: that\: I_0=\sqrt{2} *5=5\sqrt{2}A,\nu=50Hz, t=\frac{1}{300s}\\ I=5\sqrt{2}\sin 2 \pi \nu t\\ =5\sqrt{2}sin2 \pi *50*\frac{1}{300}
\\=5\sqrt{2}sin\left ( \frac{ \pi }{3} \right )= 5\sqrt{2}\sin60^{\circ}\\ =5\sqrt{2}*\frac{\sqrt{3}}{2}=5\sqrt{\frac{3}{2}}A

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infoexpert21

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