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A TM wave propagating in a dielectric filled waveguide of unknown permittivity has a magnetic field...

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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