Energy in EM waves in sphere

1. Jan 9, 2015

diracdelta

1. The problem statement, all variables and given/known data
Sphere of a radius R=50 cm is in nonmagnetic medium of
permittivity ε=4. EM wave with amplitude of electric field Em= 200 V/m is spreading through the medium.
How much energy pass through surface of sphere through 1 minute?

I have couple of question here. Since the sphere is in nonmagnetic medium how will that reflects of her magnetic field?
She doesnt have one?

So here's next flow of mind.I thought of two possibilities.
1) Sav*A*T= ε0*c*E*T
Q: Should i replace ε0 with ε?
Calculating this is quite easy, not sure if correct.

2)
Lets integrate over whole sphere of radius R, to find total Energy/time, that is, total power.
P = ∫sphere Savg
this way is much longer as far as mathemathics, but in the end, it should turn out same.

Are both solutions good?

2. Jan 10, 2015

rude man

What is the sphere made of? Is it just a spherical volume within the e=4 dielectric, or metallic, or air, or ???

3. Jan 12, 2015

diracdelta

Its just spherical volume within e=4.

4. Jan 12, 2015

rude man

Consider integrating the poynting vector over the sphere's internal "great circle" cross-section.