1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Total Power Radiated

  1. Nov 16, 2011 #1
    What is the total power radiated by an isotropic source in free space is |E| = 1mV/m at a distance of 10km?

    Relevant Eqns:
    Prad(theta,phi,r) = (1/2)*eta*|E|^2

    Prad(theta,phi,r) = (1/2)*377*0.001^2*(10000) = 1.885mV

    Is this correct? I feel like it can't be that simple.
     
    Last edited: Nov 16, 2011
  2. jcsd
  3. Nov 16, 2011 #2
    Your 1mV/m is measured at a point 10Km away, to calculate the total power of the isotropic source( E is equal in magnitude at any point on the sphere), you need to have some sort of integration of the whole surface of radius of 10Km.

    I don't understand your formula at all!!!
     
    Last edited: Nov 16, 2011
  4. Nov 16, 2011 #3
    Oh I think I see...

    Prad(theta,phi,r) = (1/2)*eta*|E|^2

    Prad(theta,phi,r) = (1/2)*377*0.001^2*(10000) = 1.885mV

    PradTotal = (int(0|2*pi))(int(0|pi))(Prad(theta,phi,r)*r2sin(theta)dtheta*dphi

    PradTotal = 2*pi*0.132*(-cos(\0|pi)) = 0.528*pi
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Total Power Radiated
Loading...