A square current-carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is \( \overrightarrow{F}\), what will be the net force on the remaining three arms of the loop?
1. | \(3 \overrightarrow{F}\) | 2. | \(- \overrightarrow{F}\) |
3. | \(-3 \overrightarrow{F}\) | 4. | \( \overrightarrow{F}\) |
A closed-loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR, and RQ are F1, F2, and F3 respectively, and are in the plane of the paper and along the directions shown,
then which of the following forces acts on the segment QP?
1.
2.
3.
4.
A current-carrying closed loop in the form of a right isosceles triangle ABC is placed in a uniform magnetic field acting along with AB.
If the magnetic force on the arm BC is F, then what is the force on the arm AC?
1. | -F | 2. | F |
3. | 2F | 4. | -2F |
A closely wound solenoid of 2000 turns and an area of cross-section of 1.5 × 10–4 m2 carries a current of 2.0 A. It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uniform magnetic field of 5 × 10–2 Tesla, making an angle of 30o with the axis of the solenoid. What will be the torque on the solenoid?
1. 1.5 × 10–3 Nm
2. 1.5 × 10–2 Nm
3. 3 × 10–2 Nm
4. 3 × 10–3 Nm
A magnetic dipole is under the influence of two magnetic fields. The angle between the field directions is 60°, and one of the fields has a magnitude of 1.2×10-2 T. If the dipole comes to stable equilibrium at an angle of 15° with this field, what is the magnitude of the other field?
\(\left[\text{Given} : \sin 15^ \circ = 0 . 26\right]\)
1. \(
7.29 \times10^{-3} ~\mathrm{T}
\)
2. \(
4.39 \times10^{-3} ~\mathrm{T}
\)
3. \(
6.18 \times10^{-3} ~\mathrm{T}
\)
4. \(5.37 \times10^{-3} ~\mathrm{T}
\)
A coil in the shape of an equilateral triangle of side l is suspended between the pole pieces of a permanent magnet such that is in the plane of the coil. If due to a current i in the triangle, a torque τ acts on it, the side l of the triangle will be:
1.
2.
3.
4.
A circular loop with a radius of 20 cm is placed in a uniform magnetic field B = 2T in the XY plane as shown in the figure. If the loop carries a current of i = 1 A, then the magnitude of torque acting on the loop will be:
1. 0.25 N-m
2. 5.2 N-m
3. 2.5 N-m
4. 0.52 N-m
If a square loop \(\text{ABCD}\) carrying a current \(i\) is placed near and coplanar with a long straight conductor \(\mathrm{XY}\) carrying a current \(I\), what will be the net force on the loop?
1. \(\frac{\mu_0Ii}{2\pi}\)
2. \(\frac{2\mu_0IiL}{3\pi}\)
3. \(\frac{\mu_0IiL}{2\pi}\)
4. \(\frac{2\mu_0Ii}{3\pi}\)
A closed-loop (of any shape) carrying current lies in the x-y plane. What happens when a uniform magnetic field B is present in the region such that the loop experiences zero force?
1. | B acts along the x-axis |
2. | B acts along the y-axis |
3. | B acts along the z-axis |
4. | B can act along any of the above direction for the net force to be zero |
Two insulated rings, one of a slightly smaller diameter than the other, are suspended along their common diameter as shown. Initially, the planes of the rings are mutually perpendicular. What happens when a steady current is set up in each of them?
1. | the two rings rotate into a common plane. |
2. | the inner ring oscillates about its initial position. |
3. | the inner ring stays stationary while the outer one moves into the plane of the inner ring. |
4. | the outer ring stays stationary while the inner one moves into the plane of the outer ring. |