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 P1, P2 Q1, Q2 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. P1 and P2
b. Q1 and Q2
c. P1 and Q1
d. P2 and Q2

Choose the correct option: 
1. (a), (b) 
2. (b), (c) 
3. (c), (d) 
4. (a), (d) 

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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

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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. \(\frac{2}{\mu_0}\left(B_eR^3\right )\)
Subtopic:  Bar Magnet |
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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 |
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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. \(MB/F\)
2. \(BF/M\)
3. \(MF/B\)
4. \(F/MB\)
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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 |
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AIPMT - 2014
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A small permanent magnet is placed 'antiparallel' to a uniform magnetic field \(B.\) A null point is found at a distance \(r,\) on the axis of the magnet. Then, \(r\) is proportional to (nearly):
1. \(B^{-3}\)
2. \(B^{-2}\)
3. \(B^{-1/2}\)
4. \(B^{-1/3}\) 
Subtopic:  Bar Magnet |
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Two short magnets of equal dipole moments \(\mathrm{M}\) are fastened perpendicularly at their centres (shown in the figure). The magnitude of the magnetic field at a distance \(\mathrm{d}\) from the centre on the bisector of the right angle is:

     

1. \(\frac{\mu_{\mathrm{0}}}{4 \pi} \frac{\mathrm{M}}{\mathrm{d}^{3}}\)
2. \(\frac{\mu_{0}}{4 \pi} \frac{\sqrt{2} \mathrm{M}}{\mathrm{d}^{3}}\)
3. \(\frac{\mu_{0}}{4 \pi} \frac{2\sqrt{2} \mathrm{M}}{\mathrm{d}^{3}}\)
4. \(\frac{\mu_{\mathrm{0}}}{4 \pi} \frac{\mathrm{2M}}{\mathrm{d}^{3}}\)

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The magnetic field, at a point 10 cm away, from a short bar magnet is \(3 \times 10^{-4}\) T, when the magnet is placed in an end-on position. If the magnet is in a broadside-on position, the field will be: 
1. \(6 \times 10^{-4}\) T 
2. \(1.5 \times 10^{-4}\) T 
3. \(3 \sqrt2 \times 10^{-4}\) T 
4. \({3 \over \sqrt 2}\times 10^{-4}\)
Subtopic:  Bar Magnet |
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