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Q. No.A square of side \(L\) meters lies in the \(x\text-y\) plane in a region, where the magnetic field is given by \({B}=B_0(2 \hat{i}+3 \hat{j}+4 \hat{k}) ~\text{T}\), where \(B_0\) is constant. The magnitude of flux passing through the square is:
| 1. | \(2 B_0 L^2 ~\text{Wb}.\) | 2. | \(3 B_0 L^2 ~\text{Wb}.\) |
| 3. | \(4 B_0 L^2 ~\text{Wb}.\) | 4. | \(\sqrt{29} B_0 L^2 ~\text{Wb}.\) |
Subtopic: Magnetic Flux |
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A loop, made of straight edges has six corners at \(A(0,0,0), B(L, 0,0), C(L,L,0), D(0,L,0), E(0,L,L)\) and \(F(0,0,L).\) A magnetic field \(B=B_0(\hat{i}+\hat{k})~\text{T}\) is present in the region. The flux passing through the loop \(ABCDEFA\) (in that order) is:
| 1. | \(( B_0 L^2 )~\text{Wb} \) | 2. | \((2 B_0 L^2 )~\text{Wb} \) |
| 3. | \(( \sqrt{2} B_0 L^2 )~\text{Wb} \) | 4. | \((4 B_0 L^2) ~\text{Wb} \) |
Subtopic: Magnetic Flux |
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A cylindrical bar magnet is rotated about its axis (see figure). A wire is connected from the axis and is made to touch the cylindrical surface through a contact. Then:
| 1. | a direct current flows in the ammeter \(A\). |
| 2. | no current flows through the ammeter \(A\). |
| 3. | an alternating sinusoidal current flows through the ammeter \(A\) with a time period \(T=2π/ω.\) |
| 4. | a time varying non-sinosoidal current flows through the ammeter \(A\). |
Subtopic: Magnetic Flux |
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There are two coils \(A\) and \(B\) as shown in the figure. A current starts flowing in \(B\) as shown, when \(A\) is moved towards \(B\) and stops when \(A\) stops moving. The current in \(A\) is counterclockwise. \(B\) is kept stationary when \(A\) moves. We can infer that:
| 1. | there is a constant current in the clockwise direction in \(A.\) |
| 2. | there is a varying current in \(A.\) |
| 3. | there is no current in \(A.\) |
| 4. | there is a constant current in the counterclockwise direction in \(A.\) |
Subtopic: Faraday's Law & Lenz Law |
From NCERT
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Same as previous problem except the coil \(A\) is made to rotate about a vertical axis. No current flows in \(B\) if \(A\) is at rest. The current in coil \(A,\) when the current in \(B\) (at \(t = 0\)) is counterclockwise and the coil \(A\) is as shown at this instant, \(t = 0,\) is:
| 1. | constant current clockwise. |
| 2. | varying current clockwise. |
| 3. | varying current counterclockwise. |
| 4. | constant current counterclockwise. |
Subtopic: Faraday's Law & Lenz Law |
From NCERT
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The self inductance \(L\) of a solenoid of length \(l\) and area of cross-section \(A\), with a fixed number of turns \(N\) increases as:
| 1. | \(l\) and \(A\) increase. |
| 2. | \(l\) decreases and \(A\) increases. |
| 3. | \(l\) increases and \(A\) decreases. |
| 4. | both \(l\) and \(A\) decrease. |
Subtopic: Self - Inductance |
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A metal plate is getting heated. It can be because
a. a direct current is passing through the plate.
b. it is placed in a time varying magnetic field.
c. it is placed in a space varying magnetic field, but does not vary with time.
d. a current (either direct or alternating) is passing through the plate.
Choose the correct option:
1. (a), (c)
2. (a), (b), (d)
3. (b), (d)
4. (c), (d)
a. a direct current is passing through the plate.
b. it is placed in a time varying magnetic field.
c. it is placed in a space varying magnetic field, but does not vary with time.
d. a current (either direct or alternating) is passing through the plate.
Choose the correct option:
1. (a), (c)
2. (a), (b), (d)
3. (b), (d)
4. (c), (d)
Subtopic: Eddy Current |
From NCERT
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An emf is produced in a coil, which is not connected to an external voltage source. This can be due to:
Choose the correct option:
| (a) | the coil being in a time varying magnetic field. |
| (b) | the coil moving in a time varying magnetic field. |
| (c) | the coil moving in a constant magnetic field. |
| (d) | the coil is stationary in external spatially varying magnetic field, which does not change with time. |
| 1. | (a), (c) | 2. | (a), (b), (c) |
| 3. | (b), (d) | 4. | (c), (d) |
Subtopic: Faraday's Law & Lenz Law |
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From NCERT
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The mutual inductance \(M_{12}\) of coil \(1\) with respect to coil \(2\)
Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (b), (d)
4. (c), (d)
| (a) | increases when they are brought nearer. |
| (b) | depends on the current passing through the coils. |
| (c) | increases when one of them is rotated about an axis. |
| (d) | is the same as \(M_{21}\) of coil \(2\) with respect to coil \(1\). |
1. (a), (d)
2. (a), (b), (c)
3. (b), (d)
4. (c), (d)
Subtopic: Mutual Inductance |
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A circular coil expands radially in a region of magnetic field and no electromotive force is produced in the coil. This can be because:
Choose the correct option:
| (a) | the magnetic field is constant. |
| (b) | the magnetic field is in the same plane as the circular coil and it may or may not vary. |
| (c) | the magnetic field has a perpendicular (to the plane of the coil) component whose magnitude is decreasing suitably. |
| (d) | there is a constant magnetic field in the perpendicular (to the plane of the coil) direction. |
| 1. | (a), (c) | 2. | (a), (b), (c) |
| 3. | (b), (c) | 4. | (c), (d) |
Subtopic: Faraday's Law & Lenz Law |
From NCERT
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Select Chapter Topics:
- 1(current)
Q. No.
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