At 2 GHz, the conductivity of meat is on the order of 1 (S/m). When a material is placed inside a microwave oven and the field is activated, the presence of the electromagnetic fields in the conducting material causes energy dissipation in the material in the form of heat.
(a) Develop an expression for the time-average power per mm3 dissipated in a material of conductivity if the peak electric field in the material is E0. (b) Evaluate the result for meat with E0 = 4 x 104 (V/m).