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Q. No.Two small current-carrying loops carrying currents in the clockwise direction are placed in the same plane, separated by a distance \(d\) (which is much larger than the size of the loops). The two loops:
1.
attract each other.
2.
repel each other.
3.
exert no force on each other, but exert a torque.
4.
neither exert any force nor any torque on each other.
Subtopic: Current Carrying Loop: Force & Torque |
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A long current-carrying solenoid produces a magnetic field \(B\) at its centre, \(O\). When a current-carrying wire is placed parallel to the axis of the solenoid, the field at \(O\) has the magnitude \(2B\). The field due to wire has the magnitude (at \(O\)) of:
| 1. | \(B\) | 2. | \(3B\) |
| 3. | \(\dfrac {B} {\sqrt3}\) | 4. | \(\sqrt 3~ B\) |
Subtopic: Magnetic Field due to various cases |
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A straight current-carrying wire carrying current \(I\) passes perpendicular to the plane of an imaginary rectangular loop \(PQRS\), passing through its centre \(O\) (into the diagram). The diagonals intersect at \(60^\circ,\) and side \(PS\) is smaller than side \(PQ\). The value of \(\int \vec{B} \cdot d\vec{l}\) evaluated from \(P\) to \(Q\) (along \(PQ\)) has the magnitude:
| 1. | \(\dfrac{\mu_{0} I}{6}\) | 2. | \(\dfrac{2 \mu_{0} I}{6}\) |
| 3. | \(\dfrac{4\mu_{0} I}{6}\) | 4. | \(\dfrac{5\mu_{0} I}{6}\) |
Subtopic: Ampere Circuital Law |
51%
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A circular coil of radius \(r\) carries a current \(i\) and is placed in a uniform magnetic field \(B,\) with its plane parallel to the field. The magnitude of the torque acting on the coil is:
| 1. | zero | 2. | \(2\pi r i B\) |
| 3. | \(\pi r^2i B\) | 4. | \(2\pi r^2i B\) |
Subtopic: Current Carrying Loop: Force & Torque |
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To ensure that the magnetic field is radial in a moving coil galvanometer:
| 1. | The number of turns in the coil is increased. |
| 2. | The magnet is taken in the form of a horse-shoe. |
| 3. | The poles are cut cylindrically. |
| 4. | The coil is wound on an aluminum frame. |
Subtopic: Moving Coil Galvanometer |
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A charged particle (charge: \(q\)) moves in a circular orbit in a uniform magnetic field, its orbit enclosing a magnetic flux \(\Phi.\) The angular momentum of the particle is:
| 1. | \(q\Phi\) | 2. | \(\dfrac{q\Phi}{2\pi}\) |
| 3. | \(\pi q\Phi\) | 4. | \(\dfrac{q\Phi}{\pi}\) |
Subtopic: Lorentz Force |
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As shown in the figure, the equal current \(I\) flows in the two segments; the magnetic field at the centre of the loop due to segment \(ABC\) is \(B_1\) and due to segment \(ADB\) is \(B_2.\) Then:
1. \(B_1 > B_2\)
2. \(B_1 < B_2\)
3. \(B_1=B_2\)
4. \(2B_1=B_2\)
1. \(B_1 > B_2\)
2. \(B_1 < B_2\)
3. \(B_1=B_2\)
4. \(2B_1=B_2\)
Subtopic: Biot-Savart Law |
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Which of the following statements about a moving coil galvanometer is incorrect?
| 1. | The spring in a galvanometer provides a counter torque that balances the magnetic torque. |
| 2. | A galvanometer has multiple turns of wire to enhance the torque acting on the coil. |
| 3. | In all positions, the magnetic field \(B\) remains parallel to the plane of the coil. |
| 4. | The deflection \(\phi\) indicated by the scale is proportional to the square of the current flowing through the coil. |
Subtopic: Moving Coil Galvanometer |
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A current-carrying loop has a magnetic moment \(\vec{M}\) and carries a current \(I.\) The loop is placed in a uniform magnetic field \(\vec{B}.\) What is the magnitude of torque acting on the loop if the plane of the loop makes an angle of \(60^\circ\) with the direction of the magnetic field?
1. \(MB~ \text{cos} 60^\circ\)
2. \(MB~ \text{sin} 60^\circ\)
3. \(MB~ \text{tan} 60^\circ\)
4. \(MB~ \text{cot} 60^\circ\)
1. \(MB~ \text{cos} 60^\circ\)
2. \(MB~ \text{sin} 60^\circ\)
3. \(MB~ \text{tan} 60^\circ\)
4. \(MB~ \text{cot} 60^\circ\)
Subtopic: Current Carrying Loop: Force & Torque |
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The same current \(I\) is flowing in two infinitely long wires in the positive \(x \) and \(y\)-directions. The magnetic field at a point \((0,0,a)\) would be:
| 1. | \( \dfrac{\mu_{0} i}{2 \pi a}(\hat{i}+\hat{j})\) | 2. | \( \dfrac{\mu_{0} i}{2 \pi a}(-\hat{i}+\hat{j})\) |
| 3. | \(\dfrac{\mu_{0} i}{2 \pi a}(-\hat{i}-\hat{j})\) | 4. | \(\dfrac{\mu_{0} i}{2 \pi a}(\hat{i}-\hat{j})\) |
Subtopic: Biot-Savart Law |
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