Using the idea of resistors in series and in parallel, we conclude that:
resistance is proportional to length, and
inversely proportional to the area.
That should be sufficient to solve the first problem.
Two wires are made of the same material. The first wire dissipates power P with a current of I. If the second wire is 3 times as long and has twice the diameter, what will the current need to be through the second wire to dissipate the same power P as the first wire?
A particle enters a magnetic field with velocity v. Find the mass of the particle in terms of v, B, and x.
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