A current carrying loop is placed in a uniform magnetic field in four different orientations as shown in figure. Arrange them in the decreasing order of potential energy.

Question

A current carrying loop is placed in a uniform magnetic field in four different orientations as shown in figure. Arrange them in the decreasing order of potential energy. (A) 4, 2, 3, 1 (B) 1, 4, 2, 3 (C) 4, 3, 2, 1 (D) 1, 2, 3, 4

Tardigrade Admin · Accepted Answer

Potential energy, U = - vecM ⋅ vecB = -MB cosθ (1) U=- MBcos180° = MB (2) U = - MBcos90° = 0 (3) U = - MBcosθ (4) U= + MBcosθ

Q. A current carrying loop is placed in a uniform magnetic field in four different orientations as shown in figure. Arrange them in the decreasing order of potential energy.

4, 2, 3, 1

1, 4, 2, 3

4, 3, 2, 1

1, 2, 3, 4

Potential energy,
$U = - M \cdot B = - MB cos θ$
$(1) U = - MB cos 18 0^{\circ} = MB$
$(2) U = - MB cos 9 0^{\circ} = 0$
$(3) U = - MB cos θ$
$(4) U = + MB cos θ$

Q. A current carrying loop is placed in a uniform magnetic field in four different orientations as shown in figure. Arrange them in the decreasing order of potential energy.

4, 2, 3, 1

1, 4, 2, 3

4, 3, 2, 1

1, 2, 3, 4

Potential energy, U=−M⋅B=−MBcosθ (1)U=−MBcos180∘=MB (2)U=−MBcos90∘=0 (3)U=−MBcosθ (4)U=+MBcosθ

Potential energy,
$U = - M \cdot B = - MB cos θ$
$(1) U = - MB cos 18 0^{\circ} = MB$
$(2) U = - MB cos 9 0^{\circ} = 0$
$(3) U = - MB cos θ$
$(4) U = + MB cos θ$