The distance between the two plates of a parallel plate capacitor is doubled, and the area of each plate is halved. If \(C\) is its initial capacitance, its final capacitance is equal to:

1. | \(2C\) | 2. | \(\frac{C}{2}\) |

3. | \(4C\) | 4. | \(\frac{C}{4}\) |

Subtopic: Capacitance |

78%

From NCERT

NEET - 2022

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The electrostatic force between the metal plates of an isolated parallel plate capacitor \(C\) having a charge \(Q\) and area \(A\) is:

1. | independent of the distance between the plates |

2. | linearly proportional to the distance between the plates |

3. | proportional to the square root of the distance between the plates |

4. | inversely proportional to the distance between the plates |

Subtopic: Capacitance |

60%

From NCERT

NEET - 2018

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A parallel plate air capacitor has capacitance \(C,\) the distance of separation between plates is \(d\) and potential difference \(V\) is applied between the plates. The force of attraction between the plates of the parallel plate air capacitor is:

1. | \(\frac{C^2V^2}{2d}\) | 2. | \(\frac{CV^2}{2d}\) |

3. | \(\frac{CV^2}{d}\) | 4. | \(\frac{C^2V^2}{2d^2}\) |

Subtopic: Capacitance |

69%

From NCERT

NEET - 2015

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The energy required to charge a parallel plate condenser of plate separation, \(d\) and plate area of cross-section, \(A\) such that the uniform electric field between the plates is \(E,\) is:

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

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

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

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

Subtopic: Capacitance |

From NCERT

AIPMT - 2008

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A parallel plate air capacitor is charged to a potential difference of *V* volts. After disconnecting the charging battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates:

1. decreases.

2. does not change.

3. becomes zero.

4. increases.

Subtopic: Capacitance |

56%

From NCERT

AIPMT - 2006

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