A printed circuit board contains a resistor formed of a semicircular bend of resistive material (resistivity ) of thickness , inner radius and outer radius as shown in the figure above. Copper traces maintain a constant voltage across the semicircular resistor. Find (in terms of the givens):
a) the resistance of the resistor - be sure to indicate the basic formulae you are starting from for partial credit in case you can't quite get the integral right (it is like the integral in a homework problem);
b) the energy dissipated as heat in the resistor in seconds. Again, if you cannot find in terms of the givens (or have little confidence in your answer), you may use and other given quantities to answer b) for at least partial credit.
Check the Units of Your Answers!