A 1.50m cylinder of radius 1.10 cm is made of a complicated mixture of materials. Its resistivity depends on the distance x from the left end and obeys the formula p(x) = a + bx^2, where a and b are constants. At the left end, the resistivity is 2.25*10^-8 ohm-meters , while at the right end it is 8.50*10^-8 ohm-meters.
What is the resistance of this rod?
What is the electric field at its midpoint if it carries a 1.75A current?
If we cut the rod into two 75.0cm halves, what is the resistance of each half?