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Three capacitors of capacitances \(2\) pF, \(3\) pF, and \(4\) pF are connected in parallel. The charge on the \(4\) pF capacitor, if the combination is connected to a \(100\) V supply, is:

1.\(4\times10^{-10}\) C

2. \(3\times10^{-9}\) C

3. \(2\times10^{-10}\) C

4. \(1\times10^{-9}\) C

Subtopic: Combination of Capacitors |

81%

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In a parallel plate capacitor with air between the plates, each plate has an area of $\mathrm{}$\(6\times10^{-3}~\text{m}^2\), and the distance between the plates is \(3~\text{mm}\). The capacitance of the capacitor is:

1. \(16.12~\text{pF}\)

2. \(17.71~\text{pF}\)

3. \(15.01~\text{pF}\)

4. \(11.32~\text{pF}\)

Subtopic: Capacitance |

83%

From NCERT

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A \(12\) pF capacitor is connected to a \(50\) V battery. How much electrostatic energy is stored in the capacitor?

1. \(3.1\times10^{-8}\) J

2. \(2.9\times10^{-8}\) J

3. \(3.3\times10^{-8}\) J

4. \(1.5\times10^{-8}\) J

Subtopic: Energy stored in Capacitor |

82%

From NCERT

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Two tiny spheres carrying charges of \(1.5\) µC and \(2.5\) µC are located \(30\) cm apart. What is the potential at a point \(10\) cm from the midpoint in a plane normal to the line and passing through the mid-point?

1. \(1.5\times 10^{5}\) V

2. \(1.0\times 10^{5}\) V

3. \(2.4\times 10^{5}\) V

4. \(2.0\times 10^{5}\) V

Subtopic: Electric Potential |

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Three capacitors connected in series have a capacitance of \(9\) pF each. The potential difference across each capacitor if the combination is connected to a \(120\) V supply is:

1. \(10\) V

2. \(20\) V

3. \(30\) V

4. \(40\) V

Subtopic: Capacitance |

81%

From NCERT

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In a certain region of space with volume \(0.2\) m^{3}, the electric potential is found to be \(5\) V throughout. The magnitude of electric field in this region is:

1. \(0.5\) N/C

2. \(1\) N/C

3. \(5\) N/C

4. zero

Subtopic: Relation between Field & Potential |

75%

From NCERT

NEET - 2020

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Consider a uniform electric field in the \(\mathrm{z}\)-direction. The potential is a constant:

a. | in all space. |

b. | for any \(\mathrm{x}\) for a given \(\mathrm{z}.\) |

c. | for any \(\mathrm{y}\) for a given \(\mathrm{z}.\) |

d. | on the \(\mathrm{x-y}\) plane for a given \(\mathrm{z}.\) |

Choose the correct option:

1. | (c), (d) |

2. | (a), (c) |

3. | (b), (c), (d) |

4. | (a), (b) |

Subtopic: Relation between Field & Potential |

85%

From NCERT

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The electrostatic potential on the surface of a charged conducting sphere is \(100~\text{V}\). Two statements are made in this regard.

Statement I: |
At any point inside the sphere, electric intensity is zero. |

Statement II: |
At any point inside the sphere, the electrostatic potential is \(100~\text{V}\). |

Which of the following is a correct statement?

1. | Statement I is true but Statement II is false. |

2. | Both Statement I and Statement II are false. |

3. | Statement I is true, Statement II is also true and Statement I is the cause of Statement II_{.} |

4. | Statement I is true, Statement II is also true but the statements are independent. |

Subtopic: Electrostatic Shielding |

59%

From NCERT

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As per this diagram, a point charge \(\mathrm{+q}\) is placed at the origin \(\mathrm{O}.\) Work done in taking another point charge \(\mathrm{-Q}\) from the point \(\mathrm{A},\) coordinates \((\mathrm{0,a}),\) to another point \(\mathrm{B},\) coordinates \((\mathrm{a,0}),\) along the straight path \(\mathrm{AB}\) is:

1. | \( \left(\frac{-\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \sqrt{2} \mathrm{a}\) | 2. | zero |

3. | \( \left(\frac{\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \frac{1}{\sqrt{2}} \) | 4. | \( \left(\frac{\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \sqrt{2} \mathrm{a}\) |

Subtopic: Electric Potential Energy |

85%

From NCERT

AIPMT - 2005

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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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