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 |
 84%
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 A(m2), the energy (joule) stored in the condenser is:

1. 12ε0E2

2. ε0EAd

3. 12ε0E2Ad

4. E2Ad/ε0

Subtopic:  Energy stored in Capacitor |
 81%
From NCERT
NEET - 2021
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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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Surface charge density on the positive plate of a charged parallel plate capacitor is σ. Energy density in the electric field of the capacitor is:

1. σ2ε0

2. σ22ε0

3. σε0

4. 2σ2ε0

Subtopic:  Energy stored in Capacitor |
 78%
From NCERT
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Five equal capacitors connected in series have a resultant capacitance of μF. 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.  2C1n1n2             

2. 16n2n1C1

3.  2n2n1C1           

4.  16C1n1n2

Subtopic:  Energy stored in Capacitor |
 72%
From NCERT
NEET - 2010
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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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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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Two condensers of capacity 0.3 μF and 0.6 μF 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. 12

2. 2

3. 14

4. 4

Subtopic:  Energy stored in Capacitor |
 66%
From NCERT
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In the circuit shown in figure, energy stored in 6 μF 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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