- 1(current)
Q. No.A \(250\) turn rectangular coil of length \(2.1\) cm and width \(1.25\) cm carries a current of \(85~\mu\text{A}\) and subjected to the magnetic field of strength \(0.85~\text{T}\). Work done for rotating the coil by \(180^\circ\) against the torque is:
1. \(4.55~\mu\text{J} \)
2. \(2.3~\mu\text{J} \)
3. \(1.15~\mu\text{J} \)
4. \(9.4~\mu\text{J} \)
If a square loop \({ABCD}\) carrying a current \(i\) is placed near and coplanar with a long straight conductor \({XY}\) carrying a current \(I,\) what will be the net force on the loop?
| 1. | \(\dfrac{\mu_0Ii}{2\pi}\) | 2. | \(\dfrac{2\mu_0IiL}{3\pi}\) |
| 3. | \(\dfrac{\mu_0IiL}{2\pi}\) | 4. | \(\dfrac{2\mu_0Ii}{3\pi}\) |
A rectangular coil of length \(0.12~\text{m}\) and width \(0.1~\text{m}\) having \(50\) turns of wire is suspended vertically in a uniform magnetic field of strength \(0.2~\text{Wb/m}^2\). The coil carries a current of \(2~\text{A}\). If the plane of the coil is inclined at an angle of \(30^{\circ}\) with the direction of the field, the torque required to keep the coil in stable equilibrium will be:
1. \(0.15~\text{N-m}\)
2. \(0.20~\text{N-m}\)
3. \(0.24~\text{N-m}\)
4. \(0.12~\text{N-m}\)
| 1. | can be in equilibrium in one orientation |
| 2. | can be in equilibrium in two orientations, both the equilibrium states are unstable |
| 3. | can be in equilibrium in two orientations, one stable while the other is unstable |
| 4. | experiences a torque whether the field is uniform or non-uniform in all orientations |
| 1. | \(-F\) | 2. | \(F\) |
| 3. | \(2F\) | 4. | \(-2F\) |
A square loop, carrying a steady current \(I,\) is placed in a horizontal plane near a long straight conductor carrying a steady current \(I_1\) at a distance \(d\) from the conductor as shown in the figure. The loop will experience:
| 1. | a net attractive force toward the conductor |
| 2. | a net repulsive force away from the conductor |
| 3. | a net torque acting upward perpendicular to the horizontal plane |
| 4. | a net torque acting downward normal to the horizontal plane |
| 1. | \(3 \overrightarrow{F}\) | 2. | \(- \overrightarrow{F}\) |
| 3. | \(-3 \overrightarrow{F}\) | 4. | \( \overrightarrow{F}\) |
1. \(1.5\times10^{-3}\) Nm
2. \(1.5\times10^{-2}\) Nm
3. \(3\times10^{-2}\) Nm
4. \(3\times10^{-3}\) Nm
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 \(F_1, F_2~\text{and}~F_3\) 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. \(F_{3} - F_{1} - F_{2}\)
2. \(\sqrt{\left(F_{3} - F_{1}\right)^{2} + F_{2}^{2}}\)
3. \(\sqrt{\left(F_{3} - F_{1}\right)^{2} - F_{2}^{2}}\)
4. \(F_{3} - F_{1} + F_{2}\)
1. \(\frac{2}{\sqrt{3}} \left(\frac{\tau}{Bi}\right)\)
2. \(\frac{1}{\sqrt{3}} \frac{\tau}{Bi}\)
3. \(2 \left(\frac{\tau}{\sqrt{3} Bi} \right)^{\frac{1}{2}}\)
4. \(\frac{2}{\sqrt{3}} \left(\frac{\tau}{Bi} \right)^{\frac{1}{2}}\)
- 1(current)
Q. No.
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