The dimensions of mutual inductance \((M)\) are:

1. \(\left[M^2LT^{-2}A^{-2}\right]\)

2. \(\left[MLT^{-2}A^{2}\right]\)

3. \(\left[M^{2}L^{2}T^{-2}A^{2}\right]\)

4. \(\left[ML^{2}T^{-2}A^{-2}\right]\)

Subtopic: Â Mutual Inductance |

Â 72%

From NCERT

NEET - 2022

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Two conducting circular loops of radii \(R_1\)$\mathrm{and}$\(R_2\) are placed in the same plane with their centres coinciding. If \(R_1>>R_2\) the mutual inductance \(M\) between them will be directly proportional to:

1. \(\frac{R^2_1}{R_2}\)

2. \(\frac{R^2_2}{R_1}\)

3. \(\frac{R_1}{R_2}\)

4. \(\frac{R_2}{R_1}\)

Subtopic: Â Mutual Inductance |

Â 59%

From NCERT

NEET - 2021

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A long solenoid of diameter \(0.1\) m has \(2 \times 10^4\) turns per meter. At the center of the solenoid, a coil of \(100\) turns and radius \(0.01\) m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to \(0\) A from \(4\) A in \(0.05\) s. If the resistance of the coil is \(10\pi^2~\Omega\), then the total charge flowing through the coil during this time is:

1. \(16~\mu \text{C}\)

2. \(32~\mu \text{C}\)

3. \(16\pi~\mu \text{C}\)

4. \(32\pi~\mu \text{C}\)

Subtopic: Â Faraday's Law & Lenz Law |Â Mutual Inductance |

Â 58%

From NCERT

NEET - 2017

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Two coils of self-inductance 2 mH and 8 mH are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is:

1. 10 mH

2. 6 mH

3. 4 mH

4. 16 mH

Subtopic: Â Mutual Inductance |

Â 73%

From NCERT

AIPMT - 2006

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Two coils have a mutual inductance \(0.005\) H. The current changes in the first coil according to equation \(I=I_{0}sin\omega t\) where \(I_{0}=2\) A and \(\omega=100\pi \) rad/s. The maximum value of emf in the second coil is:

1. \(4\pi\) V

2. \(3\pi\) V

3. \(2\pi\) V

4. \(\pi\) V

Subtopic: Â Mutual Inductance |

Â 72%

From NCERT

AIPMT - 1998

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