A rectangular waveguide is filled with a (non-magnetic) perfect dielectric. The metal is a PEC. X & = 2.25, µ, = 1 a = 4 cm , and b 1 cm. a) Consider a single pure mode, whereby the component of the magnetic field in the z-direction is H,(r)= H, cos(B,x)cos(B,y)ejz Construct an expression for the magnetic field phasor. H(r) where B, = 3n rad/cm and B, = 1.25T rad/cm. You may quote formulae for the eigenvalues of the rectangular Helmholtz Equation without derivation. b) Which mode is this? ( c) Suppose a coupler at z = 0 excites the waveguide at a frequency, f=12 GHz. Can the mode described in (a), (b) propagate. Explain. (-

A rectangular waveguide is filled with a (non-magnetic) perfect dielectric. The metal is a PEC. X & = 2.25, µ, = 1 a = 4 cm , and b 1 cm. a) Consider a single pure mode, whereby the component of the magnetic field in the z-direction is H,(r)= H, cos(B,x)cos(B,y)ejz Construct an expression for the magnetic field phasor. H(r) where B, = 3n rad/cm and B, = 1.25T rad/cm. You may quote formulae for the eigenvalues of the rectangular Helmholtz Equation without derivation. b) Which mode is this? ( c) Suppose a coupler at z = 0 excites the waveguide at a frequency, f=12 GHz. Can the mode described in (a), (b) propagate. Explain. (-

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter19: Capacitors

Section: Chapter Questions

Problem 3RQ: A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted...

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