Question:

The induced emf in a coil rotating in a magnetic field is maximum when the angle between the plane of the coil and the direction of field is :

Updated On: Jul 7, 2022
  • zero
  • $\frac{\pi}{4}$
  • $\frac{\pi}{2}$
  • Some angle other that those mentioned above.
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The Correct Option is A

Solution and Explanation

$E = E_o$ sin $\theta$, where $\theta$ is the angle between $\overrightarrow{B}$ and area vector $\overrightarrow{S}$ of the coil. Since $\overrightarrow{S}$ is perpendicular to the surface, therefore when the angle between plane of the coil and the magnetic field is zero, the $\theta$ = 90. Hence $E = E_o$
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Concepts Used:

Faradays Laws of Induction

There are two laws, given by Faraday which explain the phenomena of electromagnetic induction:

Faraday's First Law:

Whenever a conductor is placed in a varying magnetic field, an emf is induced. If the conductor circuit is closed, a current is induced, known as the induced current.

Faraday's Second Law:

The Emf induced inside a coil is equal to the rate of change of associated magnetic flux.

This law can be mathematically written as:

\(-N {\triangle \phi \over \triangle t}\)