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Question: 2 state the boundary conditions for electric and magnetic fields...

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2. State the boundary conditions for Electric and Magnetic fields at the interface between air and a perfect conductor. Explain why a rectangular waveguide of cross-sectional dimensions a and b has a lowest frequency at which electromagnetic waves will not propagate. Derive an expression for the lowest mode cut off frequency. marks] For a rectangular waveguide of cross sectional dimensions 2.0 mm x 1.0 mm. determine the cut off frequancies of the following modes TE10, TE11, TM11. a. [2 marks] b. c. 14 marks] Identify the centre of the band of frequency in the waveguide where only one mode will propagate and calculate the group and phase velocity of the propagating mode at this band centre. Show that the product of group and phase velocities is 9 x 10tb in SI units. d. 16. [6 marks]

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