Practice Problems for 2nd Mid-term
The answers to these are on Moodle (or will be by 5pm on Friday April 3.)
Practice problems in chapter 5:
- Make sure you understand the solutions of the problems on HW5.
- Problem 5.15 Ampere’s law practice
- Problem 5.16 Ampere’s law practice (Did you already do this for homework? Maybe I’m thinking of 6.16, which you did do.)
- Problem 5.17 Ampere’s law practice
- Problem 5.51 Good practice with Biot-Savart Law, also just fun (cause it’s a spiral)
- Problem 5.60 Good practice with Dipole moments and vector potential. (d) and (e) are good practice integrating
Practice problems in chapter 6:
- Problem 6.17 Bound currents
- Problem 6.23 I almost gave you this one as homework. It’s about a magnetic toy.
- Problem 6.25 Underlines the correspondence between electric and magnetic fields.
Practice problems in chapter 7:
- Make sure you understand the solutions of the problems on HW6.
- Problem 7.47 This is actually the mechanism by which pulsars rip electrons off of the surface - by the emf generated by the spinning magnetic field. It’s also good practice in calculating emfs.
- Problem 7.53 Nice practice in Lens’ law. I thought about putting it on the exam, but it takes too long to figure out what is actually going on. After you figure out what’s going on, it’s a short problem.
- Problem 7.54 Use Lens’ law then Faraday’s law.
Practice problems in chapter 9:
- Make sure you understand the solutions of the problems on HW7, particularly #4. My exam problem can’t be that intricate, but I plan on having a problem where you match boundary conditions for a wave incident on a surface.
- Problem 9.9 Practice writing down electric and magnetic fields for waves in various directions with various polarizations.
- Problem 9.15 Prove to yourself that the reflected and transmitted waves have same polarization as incident wave, something we have just tacitly assumed.
- Problem 9.16 Prove to yourself that that thing we did where we set all the exponents equal to each other is valid.