How to Calculate Energy in EM Waves?

AI Thread Summary
To calculate energy in electromagnetic (EM) waves, the energy density formula, u = εE^2, is relevant, but it requires careful consideration of the maximum electric field (E) value. The root mean square (rms) value of E can be derived from the maximum value using E_rms = E_max/√2. The discussion highlights confusion regarding part (B) of the problem, which involves determining the distance from a 7.5 kW radio transmitter to achieve a specific energy density of 4×10^-14 J/m³. It is noted that a factor of 1/2 in the energy density formula was overlooked. Clarification on the requirements of part (B) helped resolve the confusion.
Arman777
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Homework Statement


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Homework Equations

The Attempt at a Solution


I didnt understand much the question. Should I use, ##υ=εE^2## ? Then I ll take rms value of that E.But I am not sure that is that the max value.Is it max value ? I didnt understand part (B)
 
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kuruman said:
You should make an honest effort to show an attempt at a solution. What part of the problem don't you understand? If it's energy density, look here
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/engfie.html
we didnt see this subject yet..So I am trying to solve the question using just book , and I didnt quite understand.We have energy density and we need to find rms value of E.I wrote like ##u=εE^2## cause it also contains the energy of B-field.So this value is actually used for a instant time.But I think I can take is as a max value of E then ##E_{rms}=E_{max}/(\sqrt 2)##

I didnt understand part b cause I didnt understand what the question wants from us.
 
First, you missed the factor of ##\frac{1}{2}## in the energy density.
Part (b) asks you to find distance ##r## from a 7.5 kW radio transmitter so that the energy density in a sphere of radius ##r## has the value 4×10-14 J/m3.
 
I solved thanks
 
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