A magnetic dipole of dipole moment 10(hati+hatj+hatk) is:

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We can find the force on the magnetic dipole by using the equation: F = ∇(m . B)

where F is the force, m is the magnetic dipole moment, and B is the magnetic field.

Substituting the given values, we get:

$F= \nabla (10 \hat{i} + 10 \hat{j} +10\hat{k}.0.6\hat{i}+0.4\hat{j}+0.5\hat{k})$

$F= \nabla (6 \hat{i} + 4 \hat{j} +5\hat{k}+6\hat{j}+4\hat{i}+5\hat{k}+6\hat{k}+5\hat{j}+4\hat{i})$

$F= \nabla (10 \hat{i} + 10 \hat{j} +10\hat{k})$

$F= 10\nabla ( \hat{i} + \hat{j} +\hat{k})$

As the magnetic field is not given as a function of position, we can assume that it is uniform over the region where the magnetic dipole is placed. Hence, the gradient of the magnetic field is zero, and the force on the magnetic dipole is zero. Therefore, the force acting on the dipole is zero.

Also check:

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A magnetic dipole of dipole moment 10(hati+hatj+hatk) is:

CBSE CLASS XII Related Questions

2.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

3.
A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

6.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

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A magnetic dipole of dipole moment 10(hati+hatj+hatk) is:

CBSE CLASS XII Related Questions

2. The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

3.A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

6.With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

3.
A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

6.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.