A big circular coil of \(1000\) turns and average radius \(10~\text{m}\) is rotating about its horizontal diameter at \(2~\text{rad s}^{-1}\). If the vertical component of earth's magnetic field at that place is \(2\times 10^{-5}~\text{T}\) and electrical resistance of the coil is \(12.56~\Omega,\) then the maximum induced current in the coil will be:

1. \(2~\text{A}\)

2. \(0.25~\text{A}\)

3. \(1.5~\text{A}\)

4. \(1~\text{A}\)

1. \(2~\text{A}\)

2. \(0.25~\text{A}\)

3. \(1.5~\text{A}\)

4. \(1~\text{A}\)

Subtopic: Â Faraday's Law & Lenz Law |

Â 55%

From NCERT

NEET - 2022

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The magnetic flux linked to a circular coil of radius \(R\) is;

\(\phi=2t^3+4t^2+2t+5\) Wb.

The magnitude of induced emf in the coil at \(t=5\) s is:

1. \(108\) V

2. \(197\) V

3. \(150\) V

4. \(192\) V

\(\phi=2t^3+4t^2+2t+5\) Wb.

The magnitude of induced emf in the coil at \(t=5\) s is:

1. \(108\) V

2. \(197\) V

3. \(150\) V

4. \(192\) V

Subtopic: Â Faraday's Law & Lenz Law |

Â 85%

From NCERT

NEET - 2022

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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 87%

From NCERT

NEET - 2020

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A \(800\) turn coil of effective area \(0.05~\text{m}^2\) is kept perpendicular to a magnetic field \(5\times 10^{-5}~\text{T}\). When the plane of the coil is rotated by \(90^{\circ}\)$$around any of its coplanar axis in \(0.1~\text{s}\), the emf induced in the coil will be:

1. \(0.02~\text{V}\)

2. \(2~\text{V}\)

3. \(0.2~\text{V}\)

4. \(2\times 10^{-3}~\text{V}\)

Subtopic: Â Faraday's Law & Lenz Law |

Â 65%

From NCERT

NEET - 2019

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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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A uniform magnetic field is restricted within a region of radius \(r\). The magnetic field changes with time at a rate \(\frac{dB}{dt}\). Loop \(1\) of radius \(R>r\) is enclosed within the region \(r\) and loop \(2\) of radius \(R\) is outside the region of the magnetic field as shown in the figure. Then, the emf generated is:

1. | \(1\) and zero in loop \(2\) | zero in loop

2. | \(-\frac{dB}{dt}\pi r^2\) in loop \(1\) and zero in loop \(2\) |

3. | \(-\frac{dB}{dt}\pi R^2\) in loop \(1\) and zero in loop \(2\) |

4. | \(1\) and not defined in loop \(2\) | zero in loop

Subtopic: Â Faraday's Law & Lenz Law |

Â 69%

From NCERT

NEET - 2016

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An electron moves on a straight-line path \(XY\) as shown. The \(\mathrm{abcd}\) is a coil adjacent to the path of electrons. What will be the direction of current if any, induced in the coil?

1. | \(\mathrm{abcd}\) |

2. | \(\mathrm{adcb}\) |

3. | The current will reverse its direction as the electron goes past the coil |

4. | No current included |

Subtopic: Â Faraday's Law & Lenz Law |

Â 74%

From NCERT

NEET - 2015

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A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced emf is:

1. | twice per revolution. |

2. | four times per revolution. |

3. | six times per revolution. |

4. | once per revolution. |

Subtopic: Â Faraday's Law & Lenz Law |

Â 74%

From NCERT

AIPMT - 2013

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A coil of resistance \(400~\Omega\) is placed in a magnetic field. The magnetic flux \(\phi~\text{(Wb)}\) linked with the coil varies with time \(t~\text{(s)}\) as \(\phi=50t^{2}+4.\) The current in the coil at \(t=2~\text{s}\) is:$$

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

2. \(0.1~\text{A}\)

3. \(2~\text{A}\)

4. \(1~\text{A}\)

Subtopic: Â Faraday's Law & Lenz Law |

Â 88%

From NCERT

AIPMT - 2012

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The current \(i\) in a coil varies with time as shown in the figure. The variation of induced emf with time would be:

1. | 2. | ||

3. | 4. |

Subtopic: Â Faraday's Law & Lenz Law |

Â 69%

From NCERT

AIPMT - 2011

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