Recent content by golfingboy07

yes i know what the F tensor is in terms of the components of E and B

ok. would you be able to start me off though?

Not sure how to go about proving that if E and B are perpendicular in one Lorentz frame they are perpendicular in all Lorentz frames.

A particle of initial kinetic energy T0 and rest energy E0 strikes a like particle at rest. The initial particle is scattered at an agle theta to its original direction. Show that the final kinetic energy T is T = T0cos2(theta)/(1+ (T0sin2(theta)/2E0)) what I have so far: We know that...

Or better yet maybe use the 'polar' plotting function in MATLAB...

Sorry. I realize that. Not sure where to start- maybe with <S> = (p^2 * omega^4* sin^2theta)/ (32*pi*epsilion_zero*c^3*r^2) for the short dipole case And then use the 'contour' command in MATLAB. Have a range of theta values for a particular r and then change r to get multiple contours. Not...

Questions: 1. A short dipole pz is oscillating with angular frequency omega. Draw contours of equal intensity of the radiation from this dipole in the x,z plane 2. A linear centre fed antenna is oriented along the z axis. Draw contours of equal intensity of the radiation from this...

Just wondered who (and the paper name) was the first person to introduce the idea of magnetic mirroring in the radiation belts Thanks

Maybe. I was thinking of using the vector potential A since this is related to the current density via a similar integral as above. All we need to do is find an expression for J perhaps...not really sure though

The question sheet states a sphere

Question: Show (mathematically) that a sphere charged in spherical symmetry ocillating radially will not radiate My ideas so far: We can use polar coordinates and choose a test point on the z axis so that the transvere components of J cancel. For radiation to occur (using the coulomb...

Q: Near the Earth the flux of the EM energy from the sun is ~ 1.4 kW/m2. If an interplanetary sailplane has a sail of mass 1g/m2 and negligible other weight, what would be its acceleration due to solar radiation pressure? Help! I am a stuck on this. However, I have a few thoughts: We know...

Question1: Discuss the conservation of angular momentum for a macroscopic system of sources and Electromagnetic fields in a uniform isotropic dispersionless medium of permittivity epsilon and permeability mu. Question2: Show that the differential form of the conservation law is: ∂/∂t(Lfield...

I am having a little trouble with this. To attack this problem (I reckon anyway) is to recognise that the current density vector J(x) can be written it terms of the number density and the velocity. But I'm not sure how to incorporate the Taylor expansion with the cross product. If somebody could...

Im having a little problem with this question Not sure where to start but I believe that a 3D taylor series expansion might be useful. Please could someone urgently help me out as it is due in a few hours! Thanks for your time. GM