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Two metallic spheres of radii \(1~\text{cm}\) and \(3~\text{cm}\) are given charges of \(-1\times 10^{-2}~\text{C}\) and \(5\times 10^{-2} ~\text{C}\), respectively. If these are connected by a conducting wire, then the final charge on the bigger sphere is:

1. \(3\times 10^{-2}~ \text{C}\)

2. \(4\times 10^{-2}~\text{C}\)

3. \(1\times 10^{-2}~\text{C}\)

4. \(2\times 10^{-2}~\text{C}\)

Subtopic: Electric Potential |

64%

From NCERT

AIPMT - 2012

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Three charges, each \(+q\), are placed at the corners of an equilateral triangle \(ABC\) of sides \(BC\), \(AC\), and \(AB\). \(D\) and \(E\) are the mid-points of \(BC\) and \(CA\). The work done in taking a charge \(Q\) from \(D\) to \(E\) is:

1. | \(\frac{3qQ}{4\pi \varepsilon_0 a}\) | 2. | \(\frac{3qQ}{8\pi \varepsilon_0 a}\) |

3. | \(\frac{qQ}{4\pi \varepsilon_0 a}\) | 4. | \(\text{zero}\) |

Subtopic: Electric Potential |

82%

From NCERT

AIPMT - 2011

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The electric potential V at any point (x, y, z), all in meters in space is given by V = $4{\mathrm{x}}^{2}$volt. The electric field at the point (1, 0, 2) in volt/meter, is:

1. | 8 along the negative X-axis |

2. | 8 along the positive X-axis |

3. | 16 along the negative X-axis |

4. | 16 along the positive X-axis |

Subtopic: Relation between Field & Potential |

77%

From NCERT

AIPMT - 2011

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Two parallel metal plates having charges +Q and –Q, face each other at a certain distance between them. If the plates are now dipped in the kerosene oil tank, the electric field between the plates will:

1. | increase. | 2. | decrease. |

3. | remain the same. | 4. | become zero. |

Subtopic: Dielectrics in Capacitors |

77%

From NCERT

AIPMT - 2010

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A parallel plate air capacitor is charged to a potential difference of *V* volts. After disconnecting the charging 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. does not change.

3. becomes zero.

4. increases.

Subtopic: Capacitance |

56%

From NCERT

AIPMT - 2006

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An electric dipole of moment \(\vec {p} \) is lying along a uniform electric field \(\vec{E}\). The work done in rotating the dipole by \(90^{\circ}\) is:

1. \(\sqrt{2}pE\)

2. \(\frac{pE}{2}\)

3. \(2pE\)

4. \(pE\)

Subtopic: Energy of Dipole in an External Field |

82%

From NCERT

AIPMT - 2006

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Charges +*q* and –*q* are placed at points *A* and *B,* respectively; which are at a distance 2*L* apart. *C* is the midpoint between *A* and *B*. The work done in moving a charge +Q along the semicircle *CRD* is:

1. $\frac{qQ}{4{\mathrm{\pi \epsilon}}_{0}\mathrm{L}}$

2. $\frac{qQ}{2{\mathrm{\pi \epsilon}}_{0}\mathrm{L}}$

3. $\frac{qQ}{6{\mathrm{\pi \epsilon}}_{0}\mathrm{L}}$

4. $-\frac{qQ}{6{\mathrm{\pi \epsilon}}_{0}\mathrm{L}}$

Subtopic: Electric Potential Energy |

59%

From NCERT

AIPMT - 2007

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Two condensers, one of capacity *\(C\)* and the other of capacity \(\frac{C}2\) are connected to a *\(V\)* volt battery, as shown in the figure.

The energy stored in the capacitors when both condensers are fully charged will be:

1. \(2CV^2\)

2. \({1 \over4}CV^2\)

3. \({3 \over4}CV^2\)

4. \({1 \over2}CV^2\)

Subtopic: Energy stored in Capacitor |

83%

From NCERT

AIPMT - 2007

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The energy required to charge a parallel plate condenser of plate separation, \(d\) and plate area of cross-section, \(A\) such that the uniform electric field between the plates is \(E,\) is:

1. $\frac{1}{2}$ ${\mathrm{\epsilon}}_{0}{\mathrm{E}}^{2}/\mathrm{Ad}$

2. ${\mathrm{\epsilon}}_{0}{\mathrm{E}}^{2}/\mathrm{Ad}$

3. ${\mathrm{\epsilon}}_{0}{\mathrm{E}}^{2}\mathrm{Ad}$

4. $\frac{1}{2}$ ${\mathrm{\epsilon}}_{0}{\mathrm{E}}^{2}\mathrm{Ad}$

Subtopic: Capacitance |

From NCERT

AIPMT - 2008

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The electric potential at a point in free space due to a charge \(Q\) coulomb is \(Q\times10^{11}~\text{V}\). The electric field at that point is:

1. \(4\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)

2. \(12\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)

3. \(4\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)

4. \(12\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)

Subtopic: Relation between Field & Potential |

72%

From NCERT

AIPMT - 2008

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