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The effective capacity of the network between terminals \(\mathrm{A}\) and \(\mathrm{B}\) is:

1. | \(6~\mu\text{F}~\) | 2. | \(20~\mu\text{F} ~\) |

3. | \(3~\mu\text{F}~\) | 4. | \(10~\mu\text{F}\) |

Subtopic: Combination of Capacitors |

90%

From NCERT

AIPMT - 1999

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Eight equally charged tiny drops are combined to form a big drop. If the potential on each drop is \(10\) V, then the potential of the big drop will be:

1. | \(40\) V | 2. | \(10\) V |

3. | \(30\) V | 4. | \(20\) V |

Subtopic: Electric Potential |

74%

From NCERT

AIPMT - 1999

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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)

(Assuming the charge on plates remains constant)

1. | \(6 E,6 C\) | 2. | \( E,C\) |

3. | \(\frac{E}{6},6C\) | 4. | \(E,6C\) |

Subtopic: Energy stored in Capacitor |

75%

From NCERT

AIPMT - 1999

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A capacitor is charged with a battery and energy stored is \(U.\) After disconnecting the battery another capacitor of the same capacity is connected in parallel with it. The energy stored in each capacitor is:

1. | \(\dfrac{U}{2}\) | 2. | \(\dfrac{U}{4}\) |

3. | \(4U\) | 4. | \(2U\) |

Subtopic: Electric Potential Energy |

53%

From NCERT

AIPMT - 2000

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Energy per unit volume for a capacitor having area \(A\) and separation \(d\) kept at a potential difference \(V\) is given by:

1. \(\frac{1}{2}\varepsilon_0\frac{V^2}{d^2}\)

2. \(\frac{1}{2}\frac{V^2}{\varepsilon_0d^2}\)

3. \(\frac{1}{2}CV^2\)

4. \(\frac{Q^2}{2C}\)

Subtopic: Energy stored in Capacitor |

81%

From NCERT

AIPMT - 2001

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Some charge is being given to a conductor. Then it's potential:

1. | is maximum at the surface. |

2. | is maximum at the centre. |

3. | remains the same throughout the conductor. |

4. | is maximum somewhere between the surface and the centre. |

Subtopic: Electrostatic Shielding |

74%

From NCERT

AIPMT - 2002

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A capacitor of capacity \(C_1\) is charged up to \(V\) volt and then connected to an uncharged capacitor \(C_2\). Then final P.D. across each will be:

1. \(\frac{C_{2} V}{C_{1} + C_{2}}\)

2. \(\frac{C_{1} V}{C_{1} + C_{2}}\)

3. \(\left(1 + \frac{C_{2}}{C_{1}}\right)\)

4. \(\left(1 - \frac{C_{2}}{C_{1}} \right) V\)

Subtopic: Combination of Capacitors |

79%

From NCERT

AIPMT - 2002

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If identical charges \((-q)\) are placed at each corner of a cube of side \(b\) then the electrical potential energy of charge \((+q)\) which is placed at centre of the cube will be:

1. | \(\dfrac{- 4 \sqrt{2} q^{2}}{\pi\varepsilon_{0} b}\) | 2. | \(\dfrac{- 8 \sqrt{2} q^{2}}{\pi\varepsilon_{0} b}\) |

3. | \(\dfrac{- 4 q^{2}}{\sqrt{3} \pi\varepsilon_{0} b}\) | 4. | \(\dfrac{8 \sqrt{2} q^{2}}{4 \pi\varepsilon_{0} b}\) |

Subtopic: Electric Potential Energy |

63%

From NCERT

AIPMT - 2002

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Three capacitors each of capacity \(4\) µF are to be connected in such a way that the effective capacitance is \(6\) µF. This can be done by:

1. | connecting all of them in a series. |

2. | connecting them in parallel. |

3. | connecting two in series and one in parallel. |

4. | connecting two in parallel and one in series. |

Subtopic: Combination of Capacitors |

89%

From NCERT

AIPMT - 2003

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A bullet of mass \(2\) g is having a charge of \(2\) µC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of \(10\) m/s?

1. \(50\) kV

2. \(5\) V

3. \(50\) V

4. \(5\) kV

Subtopic: Electric Potential |

76%

From NCERT

AIPMT - 2004

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