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Electric Current and Electric Cell

Why is maximu...

Question

Why is maximum emf not produced when the plane of the closed coil is held perpendicular to the external magnetic field ?

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Solution

If a loop of wire with an area A is in a magnetic field B, the magnetic flux is given by:
Flux = B A cos theta ( where theta is the angle between magnetic field line and perpendicular of plane.)
EMF = d Flux / dt

When plane is perpendicular to magnetic field the angle between perpendicular and plane is 0 degree.

Cos theta is max ie 1 when angle theta is 0.
So EMF will be max when theta is 0 ie when plane is perpendicular to magnetic field, the EMF will be max.

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