All Problems

Electromagnetic Waves. Radiation

Problem 4.209

A source of ac voltage V=V0cosωtV=V_{0} \cos \omega t delivers energy to a consumer by means of a long straight coaxial cable with negligible active resistance. The current in the circuit varies as I=I= =I0cosωtφ).\left.=I_{0} \cos \omega t-\varphi\right) . Find the time-averaged energy flux through the cross-section of the cable. The sheath is thin.

Reveal Answer
Φ=1/2V0I0cosφ\langle\Phi\rangle=1 / 2 V_{0} I_{0} \cos \varphi