Select Chapter Topics:

1. \(2C\)

2. \(\frac{3C}{2}\)

3. \(3C\)

4. \(\frac{5C}{2}\)

Subtopic: Combination of Capacitors |

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A charge is uniformly distributed on the circumference of a disc, and the potential at its centre is \(5\) volt. If the charge was uniformly distributed on the surface of this disc, the potential at a point \(P\) on its axis, at a distance equal to the disc's radius from its centre, equals:

1. \(10\) V

2. \(5 \sqrt 2\) V

3. \(10 \sqrt 2\) V

4. \(10 (\sqrt {2} -1)\) V

1. \(10\) V

2. \(5 \sqrt 2\) V

3. \(10 \sqrt 2\) V

4. \(10 (\sqrt {2} -1)\) V

Subtopic: Electric Potential |

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A negative point charge \((-q)\) is placed at the centre of a spherical ball of charge distributed uniformly over its volume. The radius of the ball is \(R.\) The electric field on its surface is zero. The potential on its surface is:

1. zero

2. \({kq \over 2R}\)

3. \({-kq \over 2R}\)

4. \({2kq \over R}\)

1. zero

2. \({kq \over 2R}\)

3. \({-kq \over 2R}\)

4. \({2kq \over R}\)

Subtopic: Electric Potential |

59%

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Four charges \(q,q\) and \(-q,-q\) are placed at the four vertices of a square of side \(a,\) with like charges across a diagonal. The potential at the centre of the square is:

1. zero

2. \(\sqrt2\frac{kq}{a}\)

3. \(2\frac{kq}{a}\)

4. \(4\frac{kq}{a}\)

1. zero

2. \(\sqrt2\frac{kq}{a}\)

3. \(2\frac{kq}{a}\)

4. \(4\frac{kq}{a}\)

Subtopic: Electric Potential |

86%

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The angle between the electric lines of force and the equipotential surface is:

1. \(180^\circ\)

2. \(0^\circ\)

3. \(45^\circ\)

4. \(90^\circ\)

1. \(180^\circ\)

2. \(0^\circ\)

3. \(45^\circ\)

4. \(90^\circ\)

Subtopic: Equipotential Surfaces |

82%

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Four particles having identical charges are placed at the four corners of a square of side \(2\) m. The potential at the centre of the square is \(2\sqrt2\) V.

The potential energy of the system of charges is \(U_0.\) If the charges are brought closer so that each side of the square is \(1\) m, then the new potential energy of the system will be:

The potential energy of the system of charges is \(U_0.\) If the charges are brought closer so that each side of the square is \(1\) m, then the new potential energy of the system will be:

1. | \(U_0\) | 2. | \(\frac{U_0}{2}\) |

3. | \(2U_0\) | 4. | \(4U_0\) |

Subtopic: Electric Potential Energy |

65%

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The capacitance of a system of concentric conducting spherical shells is \(2~\mu\text F.\) If the radii of both the shells are doubled, then the capacitance of the system will be:

1. \(8~\mu\text F\)

2. \(4~\mu\text F\)

3. \(1~\mu\text F\)

4. \(0.5~\mu\text F\)

1. \(8~\mu\text F\)

2. \(4~\mu\text F\)

3. \(1~\mu\text F\)

4. \(0.5~\mu\text F\)

Subtopic: Capacitance |

62%

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The left plate \(A\) of an air capacitor is connected to the positive terminal while the right plate \(B\) is connected to the negative terminal of a cell of voltage \(V_0.\) Assume that the plate area is \(A,\) and the plate separation is \(d.\) If a slab of dielectric constant \(K\) is inserted into the space between the plates, the electric field in the dielectric will be: (compared to the air capacitor)

1. | more. |

2. | less. |

3. | equal. |

4. | \(K\). | more or less or equal depending on the value of

Subtopic: Dielectrics in Capacitors |

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A dipole (\(p\)) is placed so that it is always aligned along the x-axis but it can undergo displacement along the x-axis. The dipole is placed exactly midway between two fixed charges \(-Q\) and \(Q,\) in two possible ways.

Then, the dipole is:

Then, the dipole is:

1. | stable in both A, B |

2. | stable in A, unstable in B |

3. | unstable in A, stable in B |

4. | unstable in both A, B |

Subtopic: Energy of Dipole in an External Field |

56%

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A dielectric slab is inserted between the plates of an isolated charged capacitor. Which of the following quantities will remain the same?

(a) | the electric field in the capacitor |

(b) | the charge on the capacitor |

(c) | the potential difference between the plates |

(d) | the stored energy in the capacitor |

Choose the correct option:

1. (a), (b)

2. (b) only

3. (c), (a)

4. (a), (d)

Subtopic: Dielectrics in Capacitors |

78%

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