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 |

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The diagrams below show regions of equipotentials.

A positive charge is moved from A to B in each diagram. Then:

1. | the maximum work is required to move q in figure(iii). |

2. | in all four cases,the work done is the same. |

3. | the minimum work is required to move q in the figure(i). |

4. | the maximum work is required to move q in figure(ii). |

Subtopic: Equipotential Surfaces |

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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 resulting system:-

1. Decreases by a factor of 2

2. Remains the same

3. Increases by a factor of 2

4. Increases by a factor of 4

Subtopic: Energy stored in Capacitor |

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An electric dipole is place at an angle of ${30}^{\circ}$ with an electric field intensity 2$\times {10}^{5}$ N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm, is

(a) 8 mC (b) 2 mC

(c) 5 mC (d) 7 $\mu $C

Subtopic: Energy of Dipole in an External Field |

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A parallel-plate capacitor of area A, plate separation d, and capacitance C is filled with four dielectric materials having dielectric constants ${k}_{1},{k}_{2},{k}_{3}$and ${k}_{4}$ as shown in the figure below. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by

(a) $\mathrm{k}={\mathrm{k}}_{1}+{\mathrm{k}}_{2}+{\mathrm{k}}_{3}+3{\mathrm{k}}_{4}$

(b) $k=\frac{2}{3}\left({k}_{1}+{k}_{2}+{k}_{3}\right)+2{k}_{4}$

(c) $\frac{1}{k}=\frac{3}{2\left({k}_{1}+{k}_{2}+{k}_{3}\right)}+\frac{1}{2{k}_{4}}$

(d) $\frac{1}{\mathrm{k}}=\frac{1}{{\mathrm{k}}_{1}}+\frac{1}{{\mathrm{k}}_{2}}+\frac{1}{{\mathrm{k}}_{3}}+\frac{3}{2{\mathrm{k}}_{4}}$

Subtopic: Dielectrics in Capacitors |

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A capacitor of 2 $\mu F$ is charged as shown in the figure. When the switch S is turned to position 2, the percentage of its stored energy dissipated is:

1. 20%

2. 75%

3. 80%

4. 0%

Subtopic: Energy stored in Capacitor |

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A capacitor of 2 µF is charged as shown in the figure. When the switch S is turned to position 2, the percentage of its stored energy dissipated is:

1. 20%

2. 75%

3. 80%

4. 0%

2. 75%

3. 80%

4. 0%

Subtopic: Energy stored in Capacitor |

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