$A$ fully charged capacitor with capacitance $C$ is discharged through a small resistance coil embedded in a thermally insulated block of mass $m$ and specific heat $s$. If the temperature of the block increases by $\Delta T$,then the potential difference across the capacitor is:

  • A
    $\frac{ms\Delta T}{C}$
  • B
    $\sqrt{\frac{2ms\Delta T}{C}}$
  • C
    $\sqrt{\frac{2mC\Delta T}{s}}$
  • D
    $\frac{mC\Delta T}{s}$

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How does a capacitor store energy? Obtain the formula for the energy stored in a capacitor.

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$A$ parallel plate capacitor has a uniform electric field $E$ in the space between the plates. If the distance between the plates is $d$ and the area of each plate is $A$,the energy stored in the capacitor is (where $\epsilon_{0}$ is the permittivity of free space).

$A$ cylindrical capacitor has charge $Q$ and length $L$. If both the length and the charge are doubled (keeping other parameters constant),the energy stored in the capacitor will:

$A$ variable condenser is permanently connected to a $100 \ V$ battery. If the capacity is changed from $2 \ \mu F$ to $10 \ \mu F$,then the change in energy is equal to:

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