Additional HW Problems
by Anthony Richardson 4 years, 1 month agoI've created a few additional homework problems to supplement the existing set of problems. You can find them here: Emag Problems This is a work in progress, so additional problems may be added.
Tony Richardson
Does anyone have a copy of these problems? It appears the link no longer works. I'd love to expand my repository.
I'm teaching from this book for the first time this fall (2024) in an upper-level physics course. It has quite a few application topics that physics students wouldn't normally see in a physics E&M course. I wrote this set of questions for chapter 1.
The text discusses reactance. Define circuit reactance? What is the reactance of a DC circuit? What is the reactance of an AC circuit? How is reactance different from resistance?
The text mentions capacitors and inductors. What are capacitors? What are inductors? You do not need to go into the mathematics of circuits with these elements. Simply familiarize yourself with them as circuit elements and how they store energy in circuits.
The text mentions “lumped-element circuit analysis”. What is the premise of this kind of analysis? Why might it simplify circuit analysis? How is it similar to assuming point particles in other areas of physics?
Use the equation \(\lambda = c/f\) and Table 1.2.1 to show that the speed of light in free space is a constant.
Sound waves are described by a scalar field \(p(x, y, z, t)\). Explain how a field can depend on 3-dimensional coordinates and yet be scalar. Give an example of another scalar field and compare it to an example vector field.
Show that equation 1.3.2 is a solution to equation 1.3.1 by inserting 1.3.2 into equation 1.3.1 and taking derivatives. Verify that \(\beta = \omega/c_s\).
Use Jupyter to plot one wavelength of a traveling wave described by the waveform below at the times listed in the table below.
\(w(x, t) = sin(\pi t - 2x)\)