A circular coil expands radially in a region of magnetic field and no electromotive force is produced in the coil. This can be because
a) The magnetic field is constant
b) The magnetic field is in the same plane as the circular coil and it may or may not vary
c) The magnetic field has a perpendicular (to the plane of the coil) component whose magnitude is decreasing suitably
d) There is a constant magnetic field in the perpendicular (to the plane of the coil) direction

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b and c are correct

All are correct

a and b are correct

a and d are correct

answer is C.

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Detailed Solution

$ϕ = \vec{B} \cdot \vec{A} = BA cosθ$

$ε = - \frac{dϕ}{dt}$

Here, area is changing and B is not zero, this means magnetic field should be in the plane of the coil ( $θ = 90^{o}$ ) or, the magnetic field has a component perpendicular to the plane of the coil whose magnitude is decreasing suitably so that the flux change is zero.

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