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The increasing order of the electrostatic potential energies for the given system of charges is given by:

1. | a = d < b < c | 2. | b = d < c < a |

3. | b = c < a < d | 4. | c < a < b < d |

Subtopic: Electric Potential |

77%

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What is the area of the plates of a \(2~\text{F}\) parallel plate capacitor, given that the separation between the plates is \(0.5~\text{cm}\)?

1. \(1100~\text{km}^2\)

2. \(1130~\text{km}^2\)

3. \(1110~\text{km}^2\)

4. \(1105~\text{km}^2\)

Subtopic: Capacitance |

72%

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If \(50~\text{J}\) of work must be done to move an electric charge of \(2~\text{C}\) from a point where the potential is \(-10\) volt to another point where the potential is \(\mathrm{V}\) volt, then the value of \(\mathrm{V}\) is:

1. \(5\) volt

2. \(-15\) volt

3. \(+15\) volt

4. \(+10\) volt

Subtopic: Electric Potential |

84%

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A short electric dipole has a dipole moment of \(16 \times 10^{-9} ~\text{C-}\text{m}\). The electric potential due to the dipole at a point at a distance of \(0.6~\text{m}\) from the centre of the dipole situated on a line making an angle of \(60^{\circ}\) with the dipole axis is: \(\left( \frac{1}{4\pi \varepsilon_0}= 9\times 10^{9}~\text{N-m}^2/\text{C}^2\right)\)

1. \(200~\text{V}\)

2. \(400~\text{V}\)

3. zero

4. \(50~\text{V}\)

Subtopic: Energy of Dipole in an External Field |

66%

From NCERT

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A parallel plate air capacitor is charged to potential difference V. After disconnecting the 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. increases.

3. becomes zero.

4. does not change.

Subtopic: Capacitance |

66%

From NCERT

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Some equipotential surfaces are shown in figure. The electric field at points A, B and C are respectively:

1. | \(1 \mathrm{~V} / \mathrm{cm}, \frac{1}{2} \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along +ve X-axis) }\) |

2. | \(1 \mathrm{~V} / \mathrm{cm}, \frac{1}{2} \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along -ve X-axis) }\) |

3. | \(\frac{1}{2} \mathrm{~V} / \mathrm{cm}, 1 \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along +ve X-axis) }\) |

4. | \(\frac{1}{2} \mathrm{~V} / \mathrm{cm}, 1 \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along -ve X-axis) }\) |

Subtopic: Equipotential Surfaces |

69%

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The work done to move a charge along an equipotential from A to B:

1. | can not be defined as \(-\int_{\mathrm{A}}^{\mathrm{B}} \text { E. dl. }\) |

2. | must be defined as \(-\int_{\mathrm{A}}^{\mathrm{B}} \text { E. dl. }\) |

3. | is zero |

4. | can have a non-zero value. |

Subtopic: Equipotential Surfaces |

91%

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In a region of constant potential:

a. | the electric field is uniform |

b. | the electric field is zero |

c. | there can be no charge inside the region |

d. | the electric field shall necessarily change if a charge is placed outside the region |

Choose the correct statement(s):

1. b and c

2. a and c

3. b and d

4. c and d

Subtopic: Relation between Field & Potential |

55%

From NCERT

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A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d_{1} and dielectric constant K_{1} and the other has thickness d_{2} and dielectric constant K_{2}, as shown in the figure. This arrangement can be thought of as a dielectric slab of thickness d = d_{1} + d_{2} and effective dielectric constant K. K is:

1. | \(\frac{\mathrm{K}_{1} \mathrm{~d}_{1}+\mathrm{K}_{2} \mathrm{~d}_{2}}{\mathrm{~d}_{1}+\mathrm{d}_{1}}\) | 2. | \(\frac{\mathrm{K}_{1} \mathrm{~d}_{1}+\mathrm{K}_{2} \mathrm{~d}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}\) |

3. | \(\frac{\mathrm{K}_{1} \mathrm{~K}_{2}\left(\mathrm{~d}_{1}+\mathrm{d}_{2}\right)}{\mathrm{K}_{1} \mathrm{~d}_{2}+\mathrm{K}_{2} \mathrm{~d}_{1}}\) | 4. | \(\frac{2 \mathrm{~K}_{1} \mathrm{~K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}\) |

Subtopic: Dielectrics in Capacitors |

67%

From NCERT

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Consider a uniform electric field in the Z-direction. The potential is constant:

a. | in all space |

b. | for any x for a given z |

c. | for any y for a given z |

d. | on the x-y plane for a given z |

1. (a, b, c)

2. (a, c, d)

3. (b, c, d)

4. (c, d)

Subtopic: Equipotential Surfaces |

78%

From NCERT

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