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Thermal Resistance

As shown in t...

Question

As shown in the figure, two identical capacitors of values $C_{1}$ and $C_{2}$ are connected with a battery. Space between the plates of $C_{1}$ is filled with air and that of between plates of $C_{2}$ is filled with an insulator. Then

A

Q_{1} > Q_{2}

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B

Q_{1} < Q_{2}

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C

Q_{1} = Q_{2}

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D

None of these

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Solution

The correct option is D $Q_{1} < Q_{2}$
$\frac{C_{2}}{C_{1}} = ϵ_{r}$
In parallel, potential across each capacitor is same.
$∴ \frac{Q_{2}}{Q_{1}} = \frac{C_{2} V}{C_{1} V} \Rightarrow \frac{Q_{2}}{Q_{1}} = ϵ_{r}$
Since for an insulator $ϵ_{r} > 1$
$∴ Q_{2} > Q_{1}$ .

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