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Question One a) A distortionless line operating at 240 MHz has 2. = 801 «= 0.04 Np/m, B = 1.5 rad/m . Find the line parameters L, R G and C. b) Show that the wave equation for the voltage on the two wire transmission line can be expressed as shown below. Hence or otherwise, derive the expression for the characteristic impendence of the line and give its significance with respect to wave propagation. a²v --y?V=0 Where y is the propagation constant c) Discuss the concept of cutoff frequency with reference to wave guides? State two factors on which this cutoff depends. d) In a rectangular waveguide for which a = 2.5 cm, b=1 cm, o=0, u = Ho and 2 = 480, Hy = 5 sin () cos (30%) sin (1 x 10!+- Bz ) Alm Determine; (1) The phase constant B (ii) The intrinsic wave impedance n e) The electric field in free space is given by, E= 0.1cos (2x10$t - Bx ) a, V/m Calculate B and the time it takes to travel a distance 1/8 f) The Magnetic field intensity distribution from a filamentary conductor placed along the y axis is H=x?z ay-yºx æ. Using Maxwell's equation of your choice and stating any valid assumptions made, (1) Compute the vector current density J at point p (4, 2, 1) Hence or otherwise, compute the total current on a surface defined by OSX S2,05ys2