Oscillating circuits: HW#6, reading for this week,

For the coming week our reading will be from chapter 28. Our emphasis will be on LC circuits, 28.3. For these problems we will not be using phasor diagrams.

This week's homework assignment is due on Friday at about 1 PM.  There are not so many problems, but the problems tend to be difficult as they deal with the phenomenology of oscillating circuits. Most of the problems involve LC circuits.

There is one problem, 28.72, which is different, and is actually really difficult. I would recommend not doing 28.72. I left it in the assignment so that you could see how difficult problems become you have a resistor and capacitor together in an AC circuit. The resistor is actually the most difficult element to deal with because it dissipates energy, so within the context of the system we are looking at --the circuit-- energy is not conserved. We will come back to this in homework 7 ––next week––when we look at damped driven oscillators, in which energy is gradually lost as a function of time.

The material we cover from chapter 28 uses what we learned in Chapter 27, particularly the self inductance of the solenoid. This was our main point of emphasis from chapter 27.  I think, however, that the first section, 27.1, on induced currents is also very interesting, and can help us understand and contextualize Faraday's law (equation 27.2) more fully. Sections 27.3 and 27.4, on induction, energy, and inductors, also seem pretty interesting. I think Chapter 27 is a pretty key chapter and may be worth taking a second look at.