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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. | \(\dfrac{R^2_1}{R_2}\) | 2. | \(\dfrac{R^2_2}{R_1}\) |

3. | \(\dfrac{R_1}{R_2}\) | 4. | \(\dfrac{R_2}{R_1}\) |

Subtopic: Â Mutual Inductance |

Â 59%

From NCERT

NEET - 2021

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For a coil having \(L=2~\text{mH},\) the current flow through it is \(I=t^2e^{-t}.\) The time at which emf becomes zero is:

1. \(2\) s

2. \(1\) s

3. \(4\) s

4. \(3\) s

Subtopic: Â Self - Inductance |

Â 60%

From NCERT

AIPMT - 2001

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The magnetic flux through a circuit of resistance \(R\) changes by an amount \(\Delta \phi\) in a time \(\Delta t\). Then the total quantity of electric charge \(Q\) that passes any point in the circuit during the time \(\Delta t\) is represented by:

1. \(Q= \frac{\Delta \phi}{R}\)

2. \(Q= \frac{\Delta \phi}{\Delta t}\)

3. \(Q=R\cdot \frac{\Delta \phi}{\Delta t}\)

4. \(Q=\frac{1}{R}\cdot \frac{\Delta \phi}{\Delta t}\)

Subtopic: Â Faraday's Law & Lenz Law |

Â 83%

From NCERT

AIPMT - 2004

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For an inductor coil, \(L = 0.04 ~\text{H}\), the work done by a source to establish a current of \(5~\text{A}\) in it is:

1. \(0.5~\text{J}\)

2. \(1.00~\text{J}\)

3. \(100~\text{J}\)

4. \(20~\text{J}\)

Subtopic: Â Self - Inductance |

From NCERT

AIPMT - 1999

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Initially plane of a coil is parallel to the uniform magnetic field \(B\). If in time \(\Delta t\) the coil is perpendicular to the magnetic field, then charge flows in \(\Delta t\) depends on this time as:

1. \(\propto \Delta t\)

2. \(\propto \frac{1}{\Delta t}\)

3. \(\propto (\Delta t)^0\)

4. \(\propto (\Delta t)^{2}\)

1. \(\propto \Delta t\)

2. \(\propto \frac{1}{\Delta t}\)

3. \(\propto (\Delta t)^0\)

4. \(\propto (\Delta t)^{2}\)

Subtopic: Â Motional emf |

Â 77%

From NCERT

AIPMT - 1999

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As a result of a change in the magnetic flux linked to the closed-loop shown in the figure, an emf, \(V\) volt is induced in the loop. The work done (joules) in taking a charge \(Q\) coulomb once along the loop is:

1. | \(QV\) | 2. | \(\dfrac{QV}{2}\) |

3. | \(2QV\) | 4. | zero |

Subtopic: Â Faraday's Law & Lenz Law |

From NCERT

AIPMT - 2005

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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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In a coil of resistance \(10\) \(\Omega\), the induced current developed by changing magnetic flux through it is shown in the figure as a function of time. The magnitude of change in flux through the coil in Weber is:

1. \(2\)

2. \(6\)

3. \(4\)

4. \(8\)

Subtopic: Â Magnetic Flux |

Â 67%

From NCERT

AIPMT - 2012

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A wheel with \(20\) metallic spokes, each \(1\) m long, is rotated with a speed of \(120\) rpm in a plane perpendicular to a magnetic field of \(0.4~\text{G}\). The induced emf between the axle and rim of the wheel will be:

\((1~\text{G}=10^{-4}~\text{T})\)

1. \(2.51 \times10^{-4}\) V

2. \(2.51 \times10^{-5}\) V

3. \(4.0 \times10^{-5}\) V

4. \(2.51\) V

Subtopic: Â Motional emf |

Â 60%

From NCERT

NEET - 2020

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The magnetic flux linked with a coil (in Wb) is given by the equation \(\phi=5 t^2+3 t+60\). The magnitude of induced emf in the coil at \(t=4\) s will be:

1. \(33\) V

2. \(43\) V

3. \(108\) V

4. \(10\) V

Subtopic: Â Faraday's Law & Lenz Law |

Â 88%

From NCERT

NEET - 2020

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