A TM wave propagating in a dielectric filled waveguide of unknown permittivity has a magnetic field with y-component given by: By = 6cos(25πx)sin(100πy)sin(1.5πx1010t - 109πz)
If the guide dimensions are a=2b=4cm determine:
(a) the mode numbers,
(b) the relative permittivity of the material in the guide,
(c) the phase velocity
(d) an expression for Ex
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