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 $4\mu F$. 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 n_{1} capacitors, each of value C_{1}, is charged by a source of potential difference 4 V. When another parallel combination of n_{2} capacitors, each of value C_{2}, 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 C_{2} in terms of C_{1} is:

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: 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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