Electric dipole antenna voltage

[loki4000]

Homework Statement

Greetings.
Can someone give me hint how to solve following problem:

Homework Equations

From my understanding, you need following formula to solve problem:

and then potential can be obtained by integrating over the current distribution.
But right now these foormuas really confuse me (have probem understanding what is going on in picture). So I don't understand how to find current distribution.

The Attempt at a Solution

My guess is:
potential = (int) current distribution
V = I0(z)e^iwt

 

[rude man]

I don't think your suggested method is of any avail. That's for determining the strength of an e-m signal at a distance r away from the antenna.

Also: antennas have radiation resistance R. You need to come up with that resistance. You can look that up most anywhere for your half-wave dipole. You need to assume that your receiving antenna is also terminated in this resistance.

Then: you're given the B field so you can determine the E field and hence the Poynting vector which is power per unit area. So you also need to look up the effective area for your antenna.

Once you have the power input to your antenna you just go P = V^2/R to get your V.