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 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 \(A\) (m^{2}), 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 n_{1} capacitors, each of value C_{1}, is charged by a source of potential difference 4V. 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 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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