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  • A coil having number of turns N and cross-sectional area A is rotated in a uniform magnetic field B with an angular velocity <img alt="\omega" src="https://entrancecorner.oncodecogs.com/gif.la

A coil having number of turns N and cross-sectional area A is rotated in a uniform magnetic field B with an angular velocity \omega. The maximum value of the emf induced in it is

Option: 1

\mathrm{\frac{N B A}{\omega}}


Option: 2

\mathrm{NBA}\: \omega


Option: 3

\mathrm{\frac{N B A}{\omega^2}}


Option: 4

\mathrm{\mathrm{NBA} \omega^2}


Answers (1)

best_answer

The flux linking with the coil at any instant t is given as

\mathrm{\begin{aligned} & \Phi=N B A \cos \omega t \\ \therefore \quad & E=-\frac{d \phi}{d t}=N B A \omega \sin \omega t \end{aligned}}

Therefore, the maximum value of emf is

\mathrm{E_{\max }=N B A \omega}

 

Posted by

Rakesh

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