A planar loop of wire rotates in a uniform magnetic field. Initially at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at :

Engineering

Physics

Magnetic Flux and Faraday Law and Lenz Law

Question

5.0 s and 7.5 s

5.0 s and 10.0 s

2.5 s and 7.5 s

2.5 s and 5.0 s

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$∴ ω = \frac{2 π}{T} = \frac{π}{5}$

When $ωt = \frac{π}{2}$

$∴$ f will be minimum.

$∴$ e will be maximum

$t = \frac{\frac{π}{2}}{\frac{π}{5}} = 2 .5 \sec$

When ωt = π

$∴$ φ will have maximum.

$∴$ e will be minimum.

$t = \frac{π}{π / 5} = 5 \sec .$