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  • In an ac circuit an alternating voltage e = 300 sin 100 t volts is connected

In an ac circuit an alternating voltage e = 300 \sqrt{2} sin 100 t volts is connected to a capacitor of capacity 1 \muF. The r.m.s value of the current in the circuit is:

Option: 1

30 mA


Option: 2

10 mA


Option: 3

100 mA


Option: 4

200 mA


Answers (1)

best_answer

As we learnt in 

Wave Form (Sinusoidal) -

R.M.S. Value= frac{i_{0}}{sqrt{2}}

average value= frac{2i_{0}}{pi }

 

 e=300\sqrt{2}\sin \left ( 100t \right ), \omega=100

X_{c}=\frac{1}{\omega c}=\frac{1}{100\times 10^{-6}}=10^{4}

\Rightarrow I_{rms}=\frac{E_{rms}}{X_{c}}=\frac{\left ( \frac{300\sqrt{2}}{\sqrt{2}} \right )}{10^{4}}=30mA

Posted by

Sayak

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