How do you find electric energy density and magnetic energy density?

How do you find electric energy density and magnetic energy density?

Electromagnetism: C and L of a parallel wire line, E and B fields between 2 parallel wires

I need to find the capacitance and inductance per unit length between 2 parallel wires. To do this, I have to calculate the E and B fields between the 2 wires, each with radius a, separated by d, where d is much bigger than a? Could you please show the whole derivation? (I assume you'd use Gauss' and Amperes' law but I could never get the proper value). Thanks.

Telegraph equations

Could you please show me how to derive the telegraph equations for a loss-less transmission line? Also, please solve this problem: A loss-less transmission line of characteristic impedance Z0 is terminated by a resistive load R. Find an expression for the input impedance of a section of the line of length l. Show that this is (Z0^2)/R if l = λ/4

A plane electromagnetic wave is incident at angle on the boundary plane separating two non-magnetic media, with the electric vector in the plane of incidence. To show that wave reflected from the boundary has the same frequency as the incident wave and angle of reflection is equal to the angle of incidence. Also, derive an expression for the power reflection coefficient in this case.

A plane electromagnetic wave is incident at angle theta to the normal on the boundary plane separating two non-magnetic media with relative permitivities e1 and e2. For the case in which the electric vector is in the plane of incidence, show that any wave reflected from the boundary has the same frequency as the incident wave. Show also that the angle of reflection is equal to the angle of incidence. Derive an expression for the power reflection coefficient in this case and show that there is total transmission through the boundary at one particular value of the angle of incidence (the Brewster angle).

Complex refractive index and power reflection coefficient

Show that the complex refractive index of a conducting medium can be expressed as n = λ0(1+i)/2πδ and n = λ0(1-i)/2πδ where δ is the skin depth. Hence find the power reflection coefficient for an EM wave incident from free space on a good non-magnetic conductor at normal incidence. Show that the energy lost per unit area in the conductor is H0^2/2σδ, where H0 is the amplitude of the magnetic field in the metal just beneath the surface and σ is the conductivity.