I've only recently started learning basic electrodynamics, but I don't understand why a loop of coil with a small area and a magnet falling through will produce a larger peak to peak emf amplitude than a loop of coil with a larger area with the same magnetic field falling through. To clarify, lets say you have a loop of coil and you drop a magnet through the coil. This is will produce an emf according to Faraday's law, which is a function of time since the magnet is falling, but let's say you measure the peak to peak amplitude of this function. Now if you have a loop of coil with a larger radius, and you drop the same magnet through at the same speed, it will produce a smaller value for the peak to peak emf. Why is this?