Hi there!
Recall Faraday's Law:
ε = Emf (V)
N = Number of loops
ΦB = Magnetic Flux (Wb)
t = time (s)
Since the magnetic field is constant, we can take this out of the time derivative:
Therefore:
We can express 'A', the area in which the magnetic field passes as:
Taking the time derivative:
ω = angular speed of coil (rad/sec)
Now, combine with the above expression:
The maximum output will occur when the loop's area vector is PERPENDICULAR to the field, so sin(ωt) = 1.
Therefore:
Rearrange to solve for ω: