Equation for Induction of Electric Current in Magnetic Field

I am looking for something that should be relatively simple to find, but as such, I have not been successful. I know that an electric current can be created by moving through a magnetic field. I have found equations that indicate this can be based on the velocity and the length of said object moving through the field. However, I have not been able to identify a single equation to suit my needs.

Basically - I am looking for an equation to calculate the electric current (and voltage? in order to calculate the power...) of a loop or coil of conducting material (wire) moving through a magnetic field (say, the Earth's?).

Any help will be much appreciated.

Thank you.