State laws of electromagnetic induction. A rectangular loop of \( \mathrm{N} \) turns of length ...

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State laws of electromagnetic induction. A rectangular loop of \( \mathrm{N} \) turns of length \( a \) and width \( b \) is rotated with an angular velocity \( \omega \) in a uniform magnetic field of induction B. Show that induced e.m.f. is given by
\[
e=\omega \mathrm{N} b a \mathrm{~B} \sin \omega t
\]
\( \mathrm{P} \)
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