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Standard XII
Physics
Parallel Plate Capacitor
Question

A capacitor of capacitance $$C_0$$ is charged to a potential $$V_0$$ and then isolated. A small capacitor C is then charged from $$C_0$$, discharged and charged again; the process being repeated n times. Due to this, potential of the larger capacitor is decreased to V. The value of C is?

A
$$C_0\left(\dfrac{V_0}{V}\right)^{1/n}$$
B
$$C_0\left[\left(\dfrac{V_0}{V}\right)^{1/n}-1\right]$$
C
$$C_0\left[\left(\dfrac{V}{V_0}\right)-1\right]^n$$
D
$$C_0\left[\left(\dfrac{V}{V_0}\right)^n+1\right]$$
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Solution
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Correct option is B. $$C_0\left[\left(\dfrac{V_0}{V}\right)^{1/n}-1\right]$$

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