What Is the Rate of Energy Transfer for a 0.050T EM Wave?

[lloyd21]

Homework Statement

It is fairly easy to produce a static magnetic field of 0.050T in the lab. If an EM wave could be produced with maximum magnetic field, Bo = 0.050T

a) what would be the rate of energy transfer (W/m2) ?

b) what would the corresponding maximum electric field be?

Note * Air "breaks down" at E = 3 x 10^6 V/m, that is sparks will jump across such a field.

Homework Equations

B= E / c
c = speed of light in vacuum

The Attempt at a Solution

0.050T (3.0 x 10^8 m/s) = 1.5 x 10^7 (electric field ?)

 

[haruspex]

2. Homework Equations

What about (the 'microscopic' version of) Poynting's theorem?

 

[lloyd21]

Im not familiar with that?

 

[haruspex]

Im not familiar with that?

https://en.m.wikipedia.org/wiki/Poynting_vector#Formulation_in_terms_of_microscopic_fields

 

[lloyd21]

S= (1/Mo)(E)(B) ?
whats the S, and why is there a not about the air break down

 

[haruspex]

S= (1/Mo)(E)(B) ?
whats the S, and why is there a not about the air break down

S is the Poynting vector, and it's a cross product of E and B. But look a bit further down and you will see an expression for energy density. I thought that would be relevant to the question. Of course, that form is for a vacuum. Maybe you need a variant for air.

I don't think the note about air breakdown is relevant to answering the question. More likely it is for understanding the inference of the answer.

Having said all that, I'm no expert in this area.