Potential Distribution calculation for E

Potential distributions are given by V=3x+1v, V=2y^(1/2)v, V=5(y^2)+10x v, and V=4/(x^2 + y + z^2)v. In each case find the expressions for E.

Skin Depth in Sea Water

I'm working on this sample problem and am totally lost. "A vehicle located far above the survace of the sea transmits an electro-magnetic signal at the frequency f ..." (see attachment for complete problem - thanks!)

Input Impedance

If we have a 600ohm transmission line terminated with a 1200ohm resistor, how long must the transmission line be if the input impedance is purely real? What is the input impedance?

Double Stub Tuner

Suppose that we wished to match an admittance using a double-stub tuner where the stubs are lambda/4 apart. For what range of admittance values can we perform the stub tuning? (If y = g + jb, what are the maximum values of g and b?)

Waveguides - You have a waveguide that is 2cm x 3cm (b x a) in cross section.

You have a waveguide that is 2cm x 3cm (b x a) in cross section. 1. What is the cut-off frequency of the waveguide running in TM(10) mode? 2. What is the guide wavelength lambda(g)? 3. What are the phase and the group velocities (assume the dielectric inside the waveguide to be a vacuum) ? TM stands for Transverse Magnetic Mode 10 is the mode number which defines m=1 and n=0. Since lambda(g) is always greater than lambda(0). See attached for a better explanation of lambda(g)