Question

A circular coil which has 100 turns has a radius of 80 mm and rotates at 60 Hz about an axis perpendicular to a magnetic field of B=0.6 T. What is the maximum voltage induced in the coil?

Answer 1

The formula for flux at any time linked with the coil

$\phi = N\pi r^2 B sin 2\pi ft$

thus induced EMF can be derived as

$E_{induced}=\frac{d\phi}{dt} = N2\pi^2 f r^2 B cos 2\pi ft$

Hence maximum induced emf will be

$E_{induced,max}=\frac{d\phi}{dt} = N2\pi^2 f r^2 B=454.33volt$