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# I have a doubt, kindly clarify. A series R-C circuit is connected to an alternating voltage source. Consider two situations: When capacitor is air filled. When capacitor is mica filled.Current through resistor is i and voltage across capacitor is V t

A series R-C circuit is connected to an alternating voltage source. Consider two situations:

1. When capacitor is air filled.
2. When capacitor is mica filled.

Current through resistor is i and voltage across capacitor is V then :

• Option 1)

• Option 2)

• Option 3)

• Option 4)

192 Views

As discussed in

Impedence -

$Z= \sqrt{X_{C}^{2}+R^{2}}=\sqrt{R^{2}+\left ( \frac{1}{\omega c} \right )^{2} }$

-

Current through resister $i$= current in the circuit

$\frac{V_{o}}{\sqrt{R^{2}+X_{c}^{2}}}=\frac{V_{o}}{\sqrt{R^{2}+\left( \frac{1}{wc} \right )^{2}}}$

Voltage acrons capacitor $V=\:^{i}X_{c}$

$\frac{V_{o}}{\sqrt{R^{2}+\left( \frac{1}{wc} \right )^{2}}} \times \frac{1}{wc}= \frac{V_{o}}{\sqrt {R^{2}w^{2}c^{2}+1}}$

$As,\:\:C_{a}

$\therefore i_{a}V_{b}$

Option 1)

This option is correct.

Option 2)

This option is incorrect.

Option 3)

This option is incorrect.

Option 4)

This option is incorrect.

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