$A$ capacitor of unknown capacitance $C$ is connected across a battery of $V$ volt. The charge stored in it becomes $Q$ coulomb. When the potential across the capacitor is reduced by $V^{\prime}$ volt,the charge stored in it becomes $Q^{\prime}$ coulomb. The capacitance $C$ is:

  • A
    $\frac{Q-Q^{\prime}}{\sqrt{V^{\prime}}}$
  • B
    $\frac{V^{\prime}}{Q-Q^{\prime}}$
  • C
    $\frac{Q+Q^{\prime}}{V^{\prime}}$
  • D
    $\frac{Q-Q^{\prime}}{V^{\prime}}$

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Similar Questions

Match the following types of capacitors with their respective capacitance formulas:
Capacitor Type Capacitance Formula
$A$. Cylindrical capacitor $i$. $4\pi \epsilon_0 R$
$B$. Spherical capacitor $ii$. $\frac{K A \epsilon_0}{d}$
$C$. Parallel plate capacitor with dielectric $iii$. $\frac{2\pi \epsilon_0 \ell}{\ln(r_2/r_1)}$
$D$. Isolated spherical conductor $iv$. $\frac{4\pi \epsilon_0 r_1 r_2}{r_2 - r_1}$

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Consider a charged cylindrical capacitor. The magnitude of the electric field $\vec{E}$ in its annular region:

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