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A circular loop carrying a current is replaced by an equivalent magnetic dipole. A point on the axis of the loop is in:

1. | end-on position |

2. | broadside-on position |

3. | both |

4. | none |

Subtopic: Bar Magnet |

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Consider a magnetic dipole kept in the north-south direction. Let P_{1}, P_{2} Q_{1}, Q_{2} be four points at the same distance from the dipole towards the north, south, east and west of the dipole respectively. The directions of the magnetic field due to the dipole are the same at:

a. | P_{1} and P_{2} |

b. | Q_{1 }and Q_{2} |

c. | P_{1 }and Q_{1} |

d. | P_{2} and Q_{2} |

Choose the correct option:

1. (a), (b)

2. (b), (c)

3. (c), (d)

4. (a), (d)

Subtopic: Bar Magnet |

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Select the correct option based on the statements:

Statement I: |
The magnetic field of a circular loop at very far away point on the axial line varies with distance as like that of a magnetic dipole. |

Statement II: |
The magnetic field due to magnetic dipole varies inversely with the square of the distance from the centre on the axial line. |

1. | Statement I is correct and Statement II is incorrect. |

2. | Statement I is incorrect and Statement II is correct. |

3. | Both Statement I and Statement II are correct. |

4. | Both Statement I and Statement II are incorrect. |

Subtopic: Analogy between Electrostatics & Magnetostatics |

54%

From NCERT

NEET - 2022

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A short bar magnet of magnet moment \(0.4\) ${\mathrm{JT}}^{-1}$ is placed in a uniform magnetic field of \(0.16\) $\mathrm{T}$. The magnet is in stable equilibrium when the potential energy is:

1. \(0.064\) J

2. \(-0.064\) J

3. zero

4.\(-0.082\) J

Subtopic: Analogy between Electrostatics & Magnetostatics |

80%

From NCERT

AIPMT - 2011

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A current carrying circular loop of wire is placed in a magnetic field \(B\), which makes an angle \(\theta\) with the normal to the loop. The radius of the loop is \(r\), and the loop carries a current \(i\). The magnetic interaction energy of the current carrying loop is \(E_B\) and the torque on the loop has the magnitude \(\tau_B\).

Which of the following, is independent of \(\theta?\)

1. \(E_B\cdot\tau_B\)

2. \(\frac{E_B}{\tau_B}\)

3. \(E_B^2+\tau_B^2\)

4. \(E_B^2-\tau_B^2\)

Which of the following, is independent of \(\theta?\)

1. \(E_B\cdot\tau_B\)

2. \(\frac{E_B}{\tau_B}\)

3. \(E_B^2+\tau_B^2\)

4. \(E_B^2-\tau_B^2\)

Subtopic: Analogy between Electrostatics & Magnetostatics |

64%

From NCERT

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When a bar magnet is rotated from its position parallel to the external magnetic field \(B=10^{-3}\) T to a direction opposite to the field (anti-parallel), the work done is \(3\) J.

Then, the maximum torque experienced by this magnet in this field is:

1. \(3\times10^{-3}\) N-m

2. \(3\times10^{3}\) N-m

3. \(6\) N-m

4. \(1.5\) N-m

Subtopic: Bar Magnet |

From NCERT

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Assume that the magnetic field of the earth is due to a small magnetic dipole, placed at the centre of the earth (radius: \(R\)). The magnetic field at the equator is \(B_e.\) The dipole moment of the dipole is:

1. \(\frac{\pi}{\mu_0}\left(B_eR^3\right )\)

2. \(\frac{2\pi}{\mu_0}\left(B_eR^3\right )\)

3. \(\frac{4\pi}{\mu_0}\left(B_eR^3\right )\)

4. \(\frac{2}{\mu_0}\left(B_eR^3\right )\)

1. \(\frac{\pi}{\mu_0}\left(B_eR^3\right )\)

2. \(\frac{2\pi}{\mu_0}\left(B_eR^3\right )\)

3. \(\frac{4\pi}{\mu_0}\left(B_eR^3\right )\)

4. \(\frac{2}{\mu_0}\left(B_eR^3\right )\)

Subtopic: Bar Magnet |

63%

From NCERT

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Three identical bar magnets, each having dipole moment \(M,\) are placed at the origin — oriented along the x-axis, the y-axis and the z-axis respectively. The net magnetic moment of the dipoles has the magnitude:

1. \(3~M\)

2. \(\sqrt2~M\)

3. \(\sqrt3~M\)

4. \(\text{zero}\)

Subtopic: Bar Magnet |

From NCERT

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A bar magnet of the magnetic moment \(M\) is placed at right angles to a magnetic induction \(B.\) If a force \(F\) is experienced by each pole of the magnet, the length of the magnet will be:

1. \(\frac{MB}{F}\)

2. \(\frac{BF}{M}\)

3. \(\frac{MF}{B}\)

4. \(\frac{F}{MB}\)

1. \(\frac{MB}{F}\)

2. \(\frac{BF}{M}\)

3. \(\frac{MF}{B}\)

4. \(\frac{F}{MB}\)

Subtopic: Bar Magnet |

74%

From NCERT

NEET - 2013

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The following figures show the arrangement of bar magnets in different configurations. Each magnet has a magnetic dipole. Which configuration has the highest net magnetic dipole moment?

1. | 2. | ||

3. | 4. |

Subtopic: Bar Magnet |

70%

From NCERT

AIPMT - 2014

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