Consider a cylindrical resistor of cross-sectional area A and length L. Assume that the electric field E and current density j are uniform within the resistor. Prove that the integrated power transferred from electromagnetic fields into the resistor 

is equal to IV. Compute the electric and magnetic fields on the surface of the resistor, and show that the power transfer is also given by the surface integral of the Poynting vector, so that all energy dissipated in the resistor is transferred in through electric and magnetic fields.

Transcribed Image Text:

Sd²xj·E