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A hollow waveguide has dimensions a = 1.5cm and b = 0.8cm. the guide is operating...

A hollow waveguide has dimensions a = 1.5cm and b = 0.8cm. the guide is operating in TE10 mode. The operating frequency (f) is 12GHz. If the component in z for the magnetic field is given by:
H_z = 5 * cos? ((?/a) x) *cos? (wt-?z)
a) Determine expressions in the time domain of the transverse electric fields (Ex, Ey). substitute any variable in the expression with its values (i.e. ?, ?, k_c, a, b, etc.).
b) Determine the maximum amplitude of Ex for x = 0, x = a / 2, and x = a.

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