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:  Energy stored in Capacitor |
83%
From NCERT
AIPMT - 2007
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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 area of each plate is $\mathrm{A}\left({\mathrm{m}}^{2}\right)$, the energy (joule) stored in the condenser is:

1. $\frac{1}{2}{\mathrm{\epsilon }}_{0}{\mathrm{E}}^{2}$

2. ${\mathrm{\epsilon }}_{0}\mathrm{EAd}$

3. $\frac{1}{2}{\mathrm{\epsilon }}_{0}{\mathrm{E}}^{2}\mathrm{Ad}$

4. ${\mathrm{E}}^{2}\mathrm{Ad}/{\mathrm{\epsilon }}_{0}$

Subtopic:  Energy stored in Capacitor |
80%
From NCERT
NEET - 2021
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Surface charge density on the positive plate of a charged parallel plate capacitor is $\sigma$. Energy density in the electric field of the capacitor is:

1. $\frac{{\sigma }^{2}}{{\epsilon }_{0}}$

2. $\frac{{\sigma }^{2}}{2{\epsilon }_{0}}$

3. $\frac{\sigma }{{\epsilon }_{0}}$

4. $2{\sigma }^{2}{\epsilon }_{0}$

Subtopic:  Energy stored in Capacitor |
78%
From NCERT
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The energy and capacity of a charged parallel plate capacitor are $$E$$ and $$C$$ respectively. If a dielectric slab of ${}_{}$$$E_r=6$$ is inserted in it, then the energy and capacity become:
(Assuming the charge on plates remains constant)

 1 $$6 \mathrm E,~6 \mathrm C$$ 2 $$\mathrm E,~ \mathrm C$$ 3 $${E \over 6},~6 \mathrm C$$ 4 $$\mathrm E,~6 \mathrm C$$
Subtopic:  Energy stored in Capacitor |
75%
From NCERT
AIPMT - 1999
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Five equal capacitors connected in series have a resultant capacitance of . The total energy stored in these when these are connected in parallel and charged to 400 V is:
1. 1 J
2. 8 J
3. 16 J
4. 4 J

Subtopic:  Energy stored in Capacitor |
74%
From NCERT
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A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4 V. 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:

1.  $\frac{2{C}_{1}}{{n}_{1}{n}_{2}}$

2. 16$\frac{{n}_{2}}{{n}_{1}}$C1

3.  2$\frac{{n}_{2}}{{n}_{1}}$C1

4.  $\frac{16{C}_{1}}{{n}_{1}{{n}_{2}}_{}}$

Subtopic:  Energy stored in Capacitor |
71%
From NCERT
NEET - 2010
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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 $${1 \over 2} CV^{2}(\frac{1}{K}-1)$$ 4 The charge on the capacitor is not conserved

Subtopic:  Energy stored in Capacitor |
70%
From NCERT
NEET - 2015
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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 increases by a factor of 4. 2 decreases by a factor of 2. 3 remains the same. 4 increases by a factor of 2.

Subtopic:  Energy stored in Capacitor |
69%
From NCERT
NEET - 2017
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Two condensers of capacity 0.3 $\mu F$ and 0.6 $\mu F$ are connected in series. The combination is connected across a potential of 6 V. The ratio of energies stored by the condensers will be:

1. $\frac{1}{2}$

2. 2

3. $\frac{1}{4}$

4. 4

Subtopic:  Energy stored in Capacitor |
66%
From NCERT
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In the circuit shown in figure, energy stored in 6 $\mathrm{\mu F}$ capacitor will be:

 1 $$48 \times10^{-6}~ \mathrm J$$ 2 $$32 \times10^{-6}~ \mathrm J$$ 3 $$96 \times10^{-6}~ \mathrm J$$ 4 $$24 \times10^{-6}~ \mathrm J$$
Subtopic:  Energy stored in Capacitor |
64%
From NCERT
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