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Standard XII

Physics

Capacitance of a Random Conductor

Two condenser...

Question

Two condensers of capacities 2C and c are joined in parallel and charged up to potential The condenser of capacity c is filled completely with a medium of dielectric constan The. p.d. across the capacitors will now be.

3V/(K+2)

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3V/K

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V/(K+2)

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V/k

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Solution

The correct option is A 3V/(K+2)
$\begin{matrix} V = \frac{Q_{1} + Q_{2}}{C_{1} + C_{2}} = \frac{2 C V + C V}{K C + 2 C} = \frac{3 C V}{(K + 2) C} V = \frac{3 V}{K + 2} \end{matrix}$
Hence,
option $(A)$ is correct answer.

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Two condensers of capacities 2C and c are joined in parallel and charged up to potential The condenser of capacity c is filled completely with a medium of dielectric constan The. p.d. across the capacitors will now be.

The correct option is A 3V/(K+2)V=Q1+Q2C1+C2=2CV+CVKC+2C=3CV(K+2)CV=3VK+2Hence,option (A) is correct answer.

The correct option is A 3V/(K+2)
$\begin{matrix} V = \frac{Q_{1} + Q_{2}}{C_{1} + C_{2}} = \frac{2 C V + C V}{K C + 2 C} = \frac{3 C V}{(K + 2) C} V = \frac{3 V}{K + 2} \end{matrix}$
Hence,
option $(A)$ is correct answer.