Question

1) Derive an expression relating the velocity of the coil to the maximum induced voltage. To start off with let

flux through area A be some function of the distance of the magnet above the coil, y:

flux through A = f(y)

a) Use faradays law to make an expression for the emf in terms of f(y)

b) the magnet moves through coil with a speed v. make an expression relating v and y

c) use your expression from a) to come up with an expression for emf in terms of v. (hint remember chain rule)

d) we can get a rough estimate of the velocity of the magnet as it passes through the coil by assuming that the only force acting on it vertically is gravity. Is this true?