(B) The two capacitors are connected in parallel to the battery.In a parallel combination,the equivalent capacitance $C_{eq}$ is the sum of individual

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(B) The two capacitors are connected in parallel to the battery.In a parallel combination,the equivalent capacitance $C_{eq}$ is the sum of individual capacitances:$C_{eq} = C + \frac{C}{2} = \frac{3C}{2}$The work done $W$ by the battery to charge the capacitors is equal to the energy stored in the equivalent capacitor:$W = \frac{1}{2} C_{eq} V^2$Substituting the value of $C_{eq}$:$W = \frac{1}{2} \left( \frac{3C}{2} \right) V^2$$W = \frac{3}{4} CV^2$

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

Easy

Two capacitors,one of capacity $\frac{C}{2}$ and the other of capacity $C$,are connected to a battery of voltage $V$ as shown. The work done in charging both the capacitors fully is

MHT CET 2023 All MHT CET

A
$\frac{1}{2} CV^2$
B
$\frac{3}{4} CV^2$
C
$\frac{3}{2} CV^2$
D
$2 CV^2$

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Class 12

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Electric Potential and Capacitance

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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:

Medium

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Given $C_1 = 2\ \mu F$,$C_2 = 6\ \mu F$,and $C_3 = 4\ \mu F$. What is the total energy of the system?

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$A$ capacitor with capacitance $5\,\mu F$ is charged to $5\,\mu C.$ If the plates are pulled apart to reduce the capacitance to $2\,\mu F,$ how much work is done?

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An uncharged capacitor is connected to a battery. On charging the capacitor,

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$A$ capacitor of capacitance $C$ has stored energy $W$ and charge $Q$. If the charge is increased to $2Q$,what will be the new stored energy?

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Two capacitors,one of capacity $\frac{C}{2}$ and the other of capacity $C$,are connected to a battery of voltage $V$ as shown. The work done in charging both the capacitors fully is

Similar Questions

$A$ 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:

Given $C_1 = 2\ \mu F$,$C_2 = 6\ \mu F$,and $C_3 = 4\ \mu F$. What is the total energy of the system?

$A$ capacitor with capacitance $5\,\mu F$ is charged to $5\,\mu C.$ If the plates are pulled apart to reduce the capacitance to $2\,\mu F,$ how much work is done?

An uncharged capacitor is connected to a battery. On charging the capacitor,

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