W9_parallel_resonance.eps

298 Week 8: Faraday’s Law and Induction

a) The terminal velocity of the rod (after the switch has been closed a very long time).

b) The velocity of the rod as a function of time.

c) The current in the loop as a function of time.

Problem 4.

R

L

B

mg

A rod of lengthLand massmrides on frictionlessverticalconducting rails that sit in a plane
perpendicular to a magnetic field as shown. A resistanceRat the top completes a circuit. At time
t= 0 the rod is released from rest and falls. Find:

a) The terminal velocity of the rod (after the rod has been falling for a very long time).

b) The velocity of the rod as a function of time.

c) The current in the loop as a function of time.

Problem 5.

L

I

A

N

S

V

a) Find the self-inductance of the solenoid above that hasNturns, lengthL, and circular radius

A.