problem 1: A rectangular waveguide has dimensions 2.5 X 5 cms. Find out the guide wavelength, phase constant β and phase velocity V_{p} at a wavelength of 4.5 cms for the dominant mode.
problem 2: Show that a TEM wave can’t propagate in a waveguide by making use of Maxwell’s equations.
problem 3: What are TEM, TE, TM and HE modes? Sketch the field patterns for dominant modes in rectangular waveguides.
problem 4: What do you understand by the terms cut off wavelength, dominant mode, guide wavelengths, phase velocity, group velocity and wave impedance. Obtain the mathematical relations for each one of these and their inter relationships.
problem 5: A K band rectangular waveguide has dimensions of a = 1.067cm, b = 0.432cm, Compute the cut off frequency for the TE11 mode if the guide is filled with Teflon (ε =2.1).
problem 6: Design a rectangular waveguide has an inner radius of 2cm. Find out the cut off frequency for the guide operating in TE11 mode. Compute λ g and ZTE at 10GHz (λ_{0} = 3cm). Find out the cut off frequency for the next higher mode.
problem 7: When the dominant mode is propagated in an air filled rectangular waveguide, the guide wavelength for a frequency of 9000 MHz is 4cm. Compute breadth of the guide?
problem 8: The dimensions of a guide are 2.5 X 1cms. The frequency is 8.6GHz. Find out the following:
a) Possible modes.
b) Cut-off frequencies.
c) Guide wavelength.
problem 9: The TE10 mode is propagated in a rectangular waveguide of dimensions a = 6cms and b = 4cms. By means of a traveling detector, the distance between a maximum and minimum is found to be 4.55 cms.
problem 10: A rectangular waveguide with dimension of 3 X 2 cms operates in the TM11 mode at 10GHz. Find out the characteristic wave impedance.