A rectangular coil of single turn having area a

Asked by admin @ 17/08/2021 in Physics viewed by 299 People

A rectangular coil of single turn, having area A,

rotates in a uniform magnetic field B with angular
speed w about an axis perpendicular to the field.
If initially the plane of the coil is perpendicular to
the field, then the average induced emf when it has
rotated through 90° is

Answered by admin @ 17/08/2021

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Initially flux, $ϕ=BAcos0=BA$

After rotating through an angle $90 \degree$

Flux through the coil is zero.

So,

$Δϕ=BA$

Angular speed $=w$ so, time period = $\frac{w}{2\pi} =T$

$\frac{t}{4}$ is time taken to rotate $90 \degree$

So,

$\frac{Δϕ}{Δt} = \frac{BA}{T/4} = \frac{2BAω}{\pi}$

$\bold{\huge{\fbox{\color{Purple}{♡Thanks♡}}}}$

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