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In an ac circuit an alternating voltage e=200 \sqrt{2}\sin 100t volts is connected to a capacitor  of capacity 1\mu F. The r.m.s. value of the current in the circuit is

  • Option 1)

    10 mA

  • Option 2)

    100mA

  • Option 3)

    200mA

  • Option 4)

    20mA

 

Answers (1)

best_answer

 

Wave Form (Sinusoidal) -

R.M.S. Value= frac{i_{0}}{sqrt{2}}

average value= frac{2i_{0}}{pi }

- wherein

 

 e=200\sqrt{2}\sin \left ( 100t \right ), w=100

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

\Rightarrow I^{rms}=\frac{erms}{X_{c}}=\frac{\left ( \frac{200\sqrt{2}}{\sqrt{2}} \right )}{10^{4}}=20mA


Option 1)

10 mA

This is incorrect option

Option 2)

100mA

This is incorrect option

Option 3)

200mA

This is incorrect option

Option 4)

20mA

This is correct option

Posted by

Aadil

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