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RLC Circuit

A series R-...

Question

$A$ series $R - C$ circuit is connected to $A C$ voltage source. $C$ onsider two cases; ( $A$ ) when $C$ is without a dielectric medium and (B) when $C$ is filled with dielectric of constant $4$ . The current $I_{R}$ through the resistor and voltage $V_{C}$ across the capacitor are compared in the two cases. Which of the following $i s / a r e$ true?

I_{R}^{A} > I_{R}^{B}

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I_{R}^{A} < I_{R}^{B}

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V_{c}^{A} > V_{c}^{B}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

V_{C}^{A} < V_{R}^{C}

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Solution

The correct options are
B $I_{R}^{A} < I_{R}^{B}$
C $V_{c}^{A} > V_{c}^{B}$
$I = \frac{V}{Z}$
$V^{2} = (V_{R})^{2} + (V_{C}^{2})$
$= (I R^{2}) + (\frac{I}{ω C^{2}})$
$Z^{2} = R^{2} + (\frac{1}{ω C^{2}})$

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Similar questions

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

(a) When capacitor is filled with air

(b) When capacitor is filled with mica

Current through resistor is $i$ and voltage across capacitor is $V_{a}$ in case (a) and $V_{b}$ in case (b), then

i

V_{a}

V_{b}

V_{L}, V_{C}

V_{R}

V_{L} : V_{C} : V_{R} = 1 : 2 : 3

V_{R}

12 V

5 V

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