- 1(current)
Q. No.A small square wire loop of side \(a\) is placed at the centre of a circular wire of radius \(r,\) both loops lying in the same plane. The mutual inductance between the two loops varies as:
| 1. | \(\dfrac{r^2}{a^2}\) | 2. | \(\dfrac{a^2}{r}\) |
| 3. | \(a^2~r^2\) | 4. | \(\dfrac{a^2}{r^2}\) |
Subtopic: Mutual Inductance |
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Two coils \(1\) and \(2\), have mutual inductance \(M\) and resistance \(R\) each. A current flow in coil \(1\), which varies with time as; \(I_1=kt^{2},\) where \(k\) is constant, \(t\) is time. The total charge that flown through coil \(2\), between \(t=0\) to \(t=\dfrac{T}{2}\) will be:
1. \(\dfrac{MkT^2}{4R}\)
2. \(\dfrac{2MkT^2}{R}\)
3. \(\dfrac{MkT^2}{2R}\)
4. Zero
1. \(\dfrac{MkT^2}{4R}\)
2. \(\dfrac{2MkT^2}{R}\)
3. \(\dfrac{MkT^2}{2R}\)
4. Zero
Subtopic: Mutual Inductance |
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From NCERT
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Two coils are placed near each other, allowing a time-varying current in one coil to induce a time-varying current in the other. The mutual inductance between the coils depends on:
| 1. | the rate of change of current in the two coils |
| 2. | the materials of the wires used in two coils |
| 3. | the currents in the two coils |
| 4. | the relative position and orientation of the two coils |
Subtopic: Mutual Inductance |
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In two circuits, \(1\) and \(2,\) where \({M}_{12}\) represents the mutual inductance of circuit \(1\) with respect to circuit \(2,\) and \({M}_{21}\) represents the mutual inductance of circuit \(2\) with respect to circuit \(1,\) while \(L_1\) and \(L_2\) denote the self-inductances of circuits \(1\) and \(2\) respectively, which of the following relations is correct?
1. \(M_{12}=M_{21}\)
2. \(M_{12}+M_{21}=0\)
3. \(M_{12}+M_{21}=L_{1}+L_{2}\)
4. \(\left|M_{12}+M_{21}\right|=\left|L_{1}-L_{2}\right|\)
1. \(M_{12}=M_{21}\)
2. \(M_{12}+M_{21}=0\)
3. \(M_{12}+M_{21}=L_{1}+L_{2}\)
4. \(\left|M_{12}+M_{21}\right|=\left|L_{1}-L_{2}\right|\)
Subtopic: Mutual Inductance |
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From NCERT
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