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Help me understand! - Electromagnetic Induction and alternative Currents - NEET-2

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)
108 Views

 

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

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