W9_parallel_resonance.eps

Week 8: Faraday’s Law and Induction 297

Homework for Week 8

Problem 1.

Physics Concepts

Make this week’s physics concepts summary as you work all of the problems in this week’s
assignment. Be sure to cross-reference each concept in the summary to the problem(s) they were
key to. Do the work carefully enough that you can (after it has been handed in and graded) punch
it and add it to a three ring binder for review and study come finals!

Problem 2.

I

d

b

a

A a long straight wire carries a currentI(t) =I 0 sin(ωt). A rectangular loop of wire with
resistanceRand dimensionsa×bis a distancedaway as shown. Find:

a) the flux through the loop due to the wire;

b) the mutual inductanceMof the wire and loop;

c) the induced voltage in the loop;

d) the induced current in the loop;

e) the force between the loop and the wire

all as functions of time (where appropriate).

Problem 3.

V

R L B

S

A rod of lengthLand massmsits at rest on two frictionless conducting rails that sit in a plane
perpendicular to a magnetic field as shown. At timet= 0 a switchSis closed connecting a voltage
Vthat goes through a resistanceRand the rod. The rod begins to move from ax= 0. Find: