Question

A coil of wire (8.106 cm2 area) can generate a voltage difference when rotated in a magnetic field. If a 335 turn coil is rotated at 243 Hz in a B field of 0 T, what is the maximum voltage created ?

Answer 1

The magnetic flux Φ through a coil with N turns and area A whose normal vector makes an angle θ with the field B is given by:

$\Phi=NAB\cos\theta$

On the other hand, the voltage difference induced on a loop whose magnetic flux is a function of time is given by:

$V_{ind}=-\frac{d}{dt}\Phi(t)$

Since the magnetic field is 0T, then:

$\Phi=NA(0)\cos\theta=0$

Thus, the induced voltage difference is:

$V_{ind}=-\frac{d}{dt}(0)=0$

Therefore, the maximum voltage created is 0V.