(D) The energy stored in a capacitor is given by the formula $U = \frac{1}{2} C V^2$. Substituting the given values: $C = 200 \, \mu F = 200 \times 10

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$4 \, J$ and $4 \, J$ respectively

(D) The energy stored in a capacitor is given by the formula $U = \frac{1}{2} C V^2$. Substituting the given values: $C = 200 \, \mu F = 200 \times 10^{-6} \, F$ and $V = 200 \, V$. $U = \frac{1}{2} \times (200 \times 10^{-6}) \times (200)^2 = 100 \times 10^{-6} \times 40000 = 4 \, J$. When a capacitor discharges through a resistor, the entire stored energy is dissipated as heat in the resistor, regardless of the resistance value. Therefore, the heat generated in both cases is $4 \, J$.

Class 12 Physics Electric Potential and Capacitance Energy Stored in a Capacitor

Medium

The heat generated through $2 \, \Omega$ and $8 \, \Omega$ resistances separately, when a capacitor of $200 \, \mu F$ capacity charged to $200 \, V$ is discharged one by one, will be

A
$4 \, J$ and $16 \, J$ respectively
B
$16 \, J$ and $4 \, J$ respectively
C
$4 \, J$ and $8 \, J$ respectively
D
$4 \, J$ and $4 \, J$ respectively

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Electric Potential and Capacitance

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Energy Stored in a Capacitor

$A$ parallel plate air capacitor has a uniform electric field $E$ in the space between the plates. The area of each plate is $A$ and the distance between the plates is $d$. The energy stored in the capacitor is $[\varepsilon_0 = \text{permittivity of free space}]$

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In a charged capacitor,the energy resides in:

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$A$ 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:

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Three identical capacitors are combined in different ways. For the same voltage applied to each combination,the one that stores the greatest energy is:

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Two capacitors $C_1$ and $C_2$ are connected in parallel to a battery. The charge-time graph is shown below for the two capacitors. The energy stored in them is $U_1$ and $U_2$,respectively. Which of the given statements is true?

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The heat generated through $2 \, \Omega$ and $8 \, \Omega$ resistances separately, when a capacitor of $200 \, \mu F$ capacity charged to $200 \, V$ is discharged one by one, will be

Similar Questions

$A$ parallel plate air capacitor has a uniform electric field $E$ in the space between the plates. The area of each plate is $A$ and the distance between the plates is $d$. The energy stored in the capacitor is $[\varepsilon_0 = \text{permittivity of free space}]$

In a charged capacitor,the energy resides in:

$A$ 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:

Three identical capacitors are combined in different ways. For the same voltage applied to each combination,the one that stores the greatest energy is:

Two capacitors $C_1$ and $C_2$ are connected in parallel to a battery. The charge-time graph is shown below for the two capacitors. The energy stored in them is $U_1$ and $U_2$,respectively. Which of the given statements is true?

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