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

Reading assignment

Chapter 4 of R,H&B.

Q1: Circuit analysis (10 pts)

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?

Q2: Convergence (15 pts)

Investigate convergence of the following series

a)

b)

c)

Q3: Convergence II (10 pts)

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

a)

b)

EXTRA QUESTION FOR PH505 STUDENTS (10 pts)

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