Homework #2

For ph461/ph561 complete questions 1, 2 and 3.

Students taking ph505 (additional 1 credit graduate class) should complete questions 1, 2, 3 plus the “Extra question for ph505 students”

Due Friday, October 8, 2010 at 5pm

Chapter 4 of R,H&B.

Wikipedia article on electrical impedance, note that the symbol j is used instead of i.

Consider the ac circuit below.

a) What is the total impedance?

b) If the frequency ω is chosen so that ω = 1/sqrt(LC), then what is the phase lag between the current and the voltage?

Investigate convergence of the following series

a)

b)

c)

Is the following series convergent, absolutely convergent, or divergent?

a)

b)

Choose between either Question 25.1 of R,H&B or Question 4.17 of R,H&B.