Okay so I found an equation for the average energy of a plane wave:
<S>= Em2/(2 c μ0) where c is the speed of light, mu the magnetic permeability of free space, Em=50 in this case. <S> is the averaged Poyting vector, such that ENERGY=<S> *area* time, which gives me, when I plug in the numbers...
Homework Statement
In free space, the electric field of a plane EM wave is given by: E(z,t)= 50î cos[wt-kz]
where w= 6 x 10^15
and k=2x10^7
(A) calculate the amplitude of the magnetic field H
How much energy does this wave transmit in 30s when it passes through a window of dimensions 2mx3m if...
I just did that for the Pythagorean equation E^2=p^2+m^2, basically I say everything is energy, just as long as I remember all the units and conversion factors correctly. Well the 7 is because there is 7TeV(/c), not 1TeV(/c), the number behind it is the conversion factor to convert Mev(/c) to...
ah yeah... reading.. I always suck at that. B=p/qr=(7* (5.36 x 10^-16 )kg m /s)/[(1.6022*10^-19 C)((27/(2 pi) *10^3) m)]=5.449 T does that look better? This is after assuming perfect conditions such as the LHC is perfectly round, the magnetic field is always perpendicular. It gets pretty close...
Homework Statement
Estimate the magnetic field required to maintain protons at 7TeV in the LHC at CERN. The LHC has a circumference of 27 km. State any assumptions or approximations you make.
Homework Equations
lorentz force, assuming magnetic field is always perpendicular to the direction of...