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Q. No.A conducting wire is bent into the form of a square \(ABCD,\) and electrical connections are established in two different ways:
(I)
at two adjacent vertices \(A,B\)
(II)
at two points \(A,C\) at the ends of a diagonal.
The same potential difference is established between the two connected ends. Current is, however, allowed to take only a single path from the positive to the negative terminal by disconnecting the other path. Let the magnetic field at the centre in these cases be \(B_\text I,B_\text{II}.\) Then, \(\frac{B_\text I}{B_\text{II}}=\)
1.
\(2\)
2.
\(\dfrac12\)
3.
\(\dfrac{1}{\sqrt2}\)
4.
\(1\)
Subtopic: Magnetic Field due to various cases |
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A metal “Slinky” can be used as a solenoid. The “Slinky” is stretched slightly, and a current is passed through it. Will the resulting magnetic field cause the “Slinky” to collapse or to stretch out further?
| 1. | collapse |
| 2. | stretch out further |
| 3. | neither, the magnetic field is zero outside a solenoid |
| 4. | the answer depends on the direction of the current |
Subtopic: Force between Current Carrying Wires |
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A metal rod \(PQ\) (carrying current from \(P\) to \(Q\)) is placed perpendicular to an infinitely long wire carrying a current \(i_0.\) If this arrangement lies in a horizontal plane, in which direction will the rod \(PQ\) rotate?
1. clockwise
2. anticlockwise
3. along the axis of \(PQ\)
4. it will not rotate
Subtopic: Force between Current Carrying Wires |
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A magnetized wire of magnetic moment \(M\) and length \(L\) is bent in the form of the semi-circle of radius \(r\). The new magnetic moment is:
1. \(M\)
2. \(M / 2 \pi\)
3. \(M / \pi\)
4. \(2M / \pi\)
1. \(M\)
2. \(M / 2 \pi\)
3. \(M / \pi\)
4. \(2M / \pi\)
Subtopic: Magnetic Moment |
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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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A horizontal wire is placed in a uniform magnetic field directed vertically downward.
If an external force pulls the wire straight down along the page, which of the following best describes the magnetic force acting on the electrons in the wire?
1. Up.
2. Into the page.
3. Out of the page.
4. There is no magnetic force.
Subtopic: Lorentz Force |
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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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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 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 |
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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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