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An air-filled rectangular waveguide has dimensions a-10.922 cm and b=5.461 cm. The waveguide is operating in the fundamental TE10 mode. The corresponding field expressions for the TE10 mode are given by; TU H₂(x, y, z)= A10 cos-xe-1Bz -jwμn TC Ey (x, y, z)= -A10 Sin-xe-ißz ka a jBп TL Hx(x, y, z)= A10 Sin-xe-1Bz k²a a where; A₁0 is an arbitrary constant and ß is the propagation constant. i. Plot the electric field distribution along the cross section of the [6 marks] waveguide. ii. Plot the magnetic field distribution along the cross section of [6 marks] the waveguide. iii. If the breakdown voltage of air is 3MV/m, determine the [6 marks] maximum power that can be transmitted through the wveguide. The frequency of operation is 2 GHz. B. [15 marks] For the waveguide described in Part (A). i. Find the surface currents on the four conductors. [5 marks] [5 marks] ii. Determine the distribution of surface charges on the inner surfaes of the waveguide. iii. Verify that the curents and charges obtained in (i) and (ii) satisfy the continuity equation. [5 marks]