Deduce an expression for velocity of em waves in vacuum
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A travelling wave moving in the +z direction of the form,
Q (z,t) = Af (kz - wt)
moves with velocity v = w/k
Moreover, this is the solution of the wave equation
d^2Q/dz^2 = 1/v^2 * d^2Q / dt^2
All possible travelling waves in the + z direction satisfy this equation and they travel with velocity v.
Thus d^2Ex/ dz^2 = d^2By / dt dz
Thus
V = c - 1/root u E
Q (z,t) = Af (kz - wt)
moves with velocity v = w/k
Moreover, this is the solution of the wave equation
d^2Q/dz^2 = 1/v^2 * d^2Q / dt^2
All possible travelling waves in the + z direction satisfy this equation and they travel with velocity v.
Thus d^2Ex/ dz^2 = d^2By / dt dz
Thus
V = c - 1/root u E
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