Can anyone solve this? I have some of the answers and want to make sure they’re absolutely correct before submitting.
At t = 0, we drop from rest at height h a bar magnet with its north pole downward. It falls toward a small circular loop lying flat on the ground. Calculate the induced emf the coil as a function of the loop's radius R, the magnet's magnetic moment a, h, the gravitational field strength sl, and time t. Recall that problems may require elements/concepts from Physics 008 in addition to Physics 009.
(a) Draw a figure for this scenario. Clearly label all requisite quantities and vectors.
(b) The magnet starts initially at rest, and then is released. Derive an equation for its velocity in the z-axis as a function of time.
(c) The magnet starts initially at rest, and then is released. Derive an equation for its position (height) in the z-axis as a function of time.
(d) We can treat the magnet as a magnetic dipole. In the limit that z(t) > R calculate the magnetic field. Leave your answer in terms of the magnetic moment ju, z, and any associated constants.
(e) What is the magnetic flux of conducting loop
(f)What is the sign of the flux,
(g)Evaluate the right had side of Faraday's law.
positive or negative?
(h) As t → 0, evaluate the above expression in (g).
(i) Verify that the units are correct. by substituting and writing everything in terms of SI units and canceling.