Understand Ohm’s law in both microscopic ( J E ) and macroscopic ( V
IR ) form. Have an understanding of why
are related in this way. Given a resistor of cross-sectional area
A and length l , be able to derive the formula R
I R means in (ohmic dissipation). q
force: be able to compute this direction; be able to derive the cyclotron frequency, the relations between v,
, T , and R for a particle moving in a circle. Be able to correctly get the sense of revolution of a charge in a given constant magnetic field given the field direction and the charge of the particle.
I dl B
: be able to compute this direction, and understand the meaning of it, e.g. for a current loop above a magnet.
Biot Savart Law: be able to use to calculate the magnetic field from simple current elements, e.g. the magnetic field at the center of a circle of radius R carrying current I .
Magnetic dipole moment: what is it, how is it directed, what is its magnitude?
Torque on a magnetic dipole τ
What does it mean, e.g. what direction does it cause a compass needle in a background field to rotate, how does it arise, and so on.
Ampere’s Law: be able to find the magnetic field using Ampere’s Law in situations with a high degree of symmetry. There are a few problems here: planes of current, field inside a solenoid, problems with cylindrical symmetry.