An electric dipole is placed at an angle of \(30^\circ\) with an electric field intensity \(2\times10^5~ \text{N/C}\). It experiences a torque equal to \(4 ~\text{N-m}\). The charge on the dipole, if the dipole length is \(2~ \text{cm}\), is:

1. | \(8~\text{mC}\) | 2. | \(2~\text{mC}\) |

3. | \(5~\text{mC}\) | 4. | \(7~\mu \text{C}\) |

Subtopic: Electric Dipole |

87%

From NCERT

NEET - 2016

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Three-point charges + q, -2q and +q are placed at points (x=0, y=a, z=0), (x=0, y=0, z=0) and (x=a, y=0, z=0), respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are:

1. | $\sqrt{2}$qa along +y direction |

2. | $\sqrt{2}$qa along the line joining points (x=0, y= 0, z=0) and (x=a, y=a, z=0) |

3. | qa along the line joining points (x=0, y=0, z=0) and (x=a, y=a, z=0) |

4. | $\sqrt{2}$qa along +x direction |

Subtopic: Electric Dipole |

84%

From NCERT

AIPMT - 2007

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An electric dipole is placed at the centre of a sphere. Which of the following statements is correct?

1. | The electric flux through the sphere is zero. |

2. | The electric field is zero at every point on the sphere. |

3. | The electric field is zero at every point inside the sphere. |

4. | The electric field is uniform inside the sphere. |

Subtopic: Electric Dipole |

69%

From NCERT

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The net dipole moment of the system is of the magnitude:

1. q $\times $ 2a

2. 2q $\times $ 2a

3. q $\times $ a

4. 2 $\times $ (2q $\times $ 2a)

Subtopic: Electric Dipole |

73%

From NCERT

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In a certain region of space, the electric field is along the z-direction throughout. The magnitude of the electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of 10^{5} NC^{-1} per meter. What is the torque experienced by a system having a total dipole moment equal to ${10}^{-7}$ $\mathrm{C-}m$ in the negative z-direction?

1. | ${10}^{-2}$ $Nm$ | 2. | $0$ |

3. | ${10}^{-1}$ $Nm$ | 4. | $0.01$ $Nm$ |

Subtopic: Electric Dipole |

67%

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The electric field at the equator of a dipole is \(E.\) If the strength of the dipole and distance are now doubled, then the electric field will be:

1. | \(E/2\) | 2. | \(E/8\) |

3. | \(E/4\) | 4. | \(E\) |

Subtopic: Electric Dipole |

66%

From NCERT

AIPMT - 1998

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The electric field at a point on the equatorial plane at a distance \(r\) from the centre of a dipole having dipole moment $\stackrel{}{}$\(\overrightarrow{P}\) is given by:

(\(r\gg\) separation of two charges forming the dipole, \(\epsilon_{0} =\) permittivity of free space)

1. \(\overrightarrow{E}=\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{3}}\)

2. \(\overrightarrow{E}=\frac{2\overrightarrow{P}}{\pi \epsilon _{0}r^{3}}\)

3. \(\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{2}}\)

4. \(\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{3}}\)

Subtopic: Electric Dipole |

62%

From NCERT

NEET - 2020

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An electric dipole is kept at the origin as shown in the diagram. The point A, B, C are on a circular arc with the centre of curvature at the origin. If the electric fields at A, B and C respectively are $\overrightarrow{{E}_{1}},$ $\overrightarrow{{E}_{2}},$ $\overrightarrow{{E}_{3}}$ , then which of the following is incorrect? \(\left ( d\gg l \right )\)

1. $\overrightarrow{{E}_{1}}$ $=$ $-\overrightarrow{{E}_{3}}$

2. $\overrightarrow{{E}_{1}}$ $=$ $-2\overrightarrow{{E}_{2}}$

3. $\overrightarrow{{E}_{1}}$ $=$ $\overrightarrow{{E}_{3}}$

4. $\overrightarrow{{E}_{3}}$ $=$ $-\overrightarrow{2{E}_{2}}$

Subtopic: Electric Dipole |

From NCERT

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The figure shows electric field lines in which an electric dipole **p** is placed as shown. Which of the following statements is correct?

1. | The dipole will not experience any force. |

2. | The dipole will experience a force towards the right. |

3. | The dipole will experience a force towards the left. |

4. | The dipole will experience a force upwards. |

Subtopic: Electric Dipole |

From NCERT

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Two point dipoles of dipole moment ${\overrightarrow{\mathrm{p}}}_{1}$ and ${\overrightarrow{\mathrm{p}}}_{2}$ are at a distance x from each other and ${\overrightarrow{\mathrm{p}}}_{1}\left|\right|{\overrightarrow{\mathrm{p}}}_{2}$. The force between the dipole is:

1. $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{4{p}_{1}{p}_{2}}{{x}^{4}}$

2. $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{3{p}_{1}{p}_{2}}{{x}^{3}}$

3. $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{6{p}_{1}{p}_{2}}{{x}^{4}}$

4. $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{8{p}_{1}{p}_{2}}{{x}^{4}}$

Subtopic: Electric Dipole |

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