- 1(current)
Q. No.| 1. | \(N_1N_2\) | 2. | \(\Large\frac{N_1}{N_2}\) |
| 3. | \(\Large\frac{N_2}{N_1}\) | 4. | \(N_1^2N_2^2\) |
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1. \( \dfrac{\mu_{0} l}{2 \pi}\)
2. \(\dfrac{\mu_{0} A}{2 \pi l}\)
3. \(\dfrac{\mu_{0} l^{3}}{4 \pi A}\)
4. \(\dfrac{\mu_{0} A^{2}}{2 \pi l^{3}}\)
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| 1. | \(1~\text{mH}\) | 2. | \(2~\text{mH}\) |
| 3. | \(4~\text{mH}\) | 4. | \({\Large\frac{1}{2}}~\text{mH}\) |
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A long solenoid of length \(L,\) having turns \(N \) and of radius of cross-section \(R\) has a single circular wire wound around it tightly, making a single turn. A current \(i=I_o\sin\omega t\) is passed through this outer wire. The peak EMF induced across the ends of the inner solenoid is (nearly), in magnitude:
1. \(\dfrac{\pi \mu_{0} R^{2} N^{2} \omega I_{0}}{L}\)
2. \(\dfrac{\mu_{0} R^{2} \omega I_{0}}{N L}\)
3. \(\dfrac{\pi \mu_{0} L^{2} N \omega I_{0}}{R}\)
4. \(\dfrac{\pi \mu_{0} R^{2} N \omega I_{0}}{L}\)
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The mutual inductance between the square loop and the straight wire is proportional to:
1. \(\dfrac{a}{r}\)
2. \(\dfrac{a^2}{r}\)
3. \(\dfrac{a^2}{r^2}\)
4. \(\dfrac{a^4}{r^2}\)
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- 1(current)
Q. No.
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