A capacitor of capacitance $$C=900~\text{pF}$$ is charged fully by $$100~\text{V}$$ battery $$B$$ as shown in Figure $$(a)$$. Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance $$C=900~\text{pF}$$ as shown in Figure $$(b)$$. The electrostatic energy stored by the system $$(b)$$ is:

 1 $$1.5\times 10^{-6}~\text{J}$$ 2 $$4.5\times 10^{-6}~\text{J}$$ 3 $$3.25\times 10^{-6}~\text{J}$$ 4 $$2.25\times 10^{-6}~\text{J}$$
Subtopic: Â Energy stored in Capacitor |
Â 56%
From NCERT
NEET - 2022
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A parallel plate capacitor has a uniform electric field $$\vec{E}$$ 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:
$$\left ( \varepsilon_{0} = \text{permittivity of free space} \right )$$
1. $$\frac{1}{2}\varepsilon_0 E^2 Ad$$
2. $$\frac{E^2 Ad}{\varepsilon_0}$$
3. $$\frac{1}{2}\varepsilon_0 E^2$$
4. $$\varepsilon_0 EAd$$

Subtopic: Â Energy stored in Capacitor |
Â 71%
From NCERT
NEET - 2021
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Two identical capacitors $$C_{1}$$ and $$C_{2}$$ of equal capacitance are connected as shown in the circuit. Terminals $$a$$ and $$b$$ of the key $$k$$ are connected to charge capacitor $$C_{1}$$ using a battery of emf $$V$$ volt. Now disconnecting $$a$$ and $$b$$ terminals, terminals $$b$$ and $$c$$ are connected. Due to this, what will be the percentage loss of energy?

1. $$75\%$$
2. $$0\%$$
3. $$50\%$$
4. $$25\%$$

Subtopic: Â Energy stored in Capacitor |
Â 63%
From NCERT
NEET - 2019
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A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of the resulting system:

 1 decreases by a factor of $$2$$ 2 remains the same 3 increases by a factor of $$2$$ 4 increases by a factor of $$4$$
Subtopic: Â Energy stored in Capacitor |
Â 57%
From NCERT
NEET - 2017
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A capacitor of $$2~\mu\text{F}$$ is charged as shown in the figure. When the switch $${S}$$ is turned to position $$2,$$, the percentage of its stored energy dissipated is:

1. $$20\%$$
2. $$75\%$$
3. $$80\%$$
4. $$0\%$$
Subtopic: Â Energy stored in Capacitor |
Â 72%
From NCERT
NEET - 2016
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A parallel plate air capacitor of capacitance $$C$$ is connected to a cell of emf $$V$$ and then disconnected from it. A dielectric slab of dielectric constant $$K,$$ which can just fill the air gap of the capacitor is now inserted in it. Which of the following is incorrect?

 1 the potential difference between the plates decreases $$K$$ times. 2 the energy stored in the capacitor decreases $$K$$ times. 3 the change in energy stored is $$\frac{1}{2}CV^{2}\left ( \frac{1}{K} -1\right )$$ 4 the charge on the capacitor is not conserved.

Subtopic: Â Energy stored in Capacitor |
Â 71%
From NCERT
NEET - 2015
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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:
1. $$\frac{E^2 Ad}{\varepsilon_0}$$
2. $$\frac{1}{2}\varepsilon_0E^2 Ad$$
3. $$\varepsilon_0EAd$$
4. $$\frac{1}{2}\varepsilon_0E^2$$

Subtopic: Â Energy stored in Capacitor |
Â 92%
From NCERT
AIPMT - 2012
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A parallel plate condenser has a uniform electric field $$E$$ (V/m) in the space between the plates. If the distance between the plates is $$d$$ (m) and the area of each plate is $$A$$ (m2), the energy (joule) stored in the condenser is:
1. $$\frac{1}{2}\varepsilon_0{E}^2$$
2. $$\frac{{E}^2 {Ad}}{\varepsilon_0}$$
3. $$\frac{1}{2}\varepsilon_0 E^2 Ad$$
4. $$\varepsilon_0 EAd$$

Subtopic: Â Energy stored in Capacitor |
Â 90%
From NCERT
NEET - 2021
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A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the same (total) energy stored in it, as the first combination has. The value of C2, in terms of C1, is then:

1. $\frac{2{C}_{1}}{{n}_{1}{n}_{2}}$

2. $16\frac{{n}_{2}}{{n}_{1}}{C}_{1}$

3. $2\frac{{n}_{2}}{{n}_{1}}{C}_{1}$

4. $\frac{16{C}_{1}}{{n}_{1}{n}_{2}}$

Subtopic: Â Energy stored in Capacitor |
Â 72%
From NCERT
AIPMT - 2010
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Two condensers, one of capacity $$C$$ and the other of capacity $$\frac{C}2$$ are connected to a $$V$$ volt battery, as shown in the figure.

The energy stored in the capacitors when both condensers are fully charged will be:
1. $$2CV^2$$
2. $${1 \over4}CV^2$$
3. $${3 \over4}CV^2$$
4. $${1 \over2}CV^2$$

Subtopic: Â Energy stored in Capacitor |
Â 83%
From NCERT
AIPMT - 2007
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