161_1_Midterm2_2009

161_1_Midterm2_2009 - EE161 Midterm II Name: Grade: 1) (33...

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EE161 Midterm II N a m e : G r a d e : 1) (33 Pts) Determine the characteristic impedance of an air-filled coaxial line when 2a=0.25cm and 2b=0.75cm. Neglect dielectric and ohmic losses. (1) For the dominant mode, what are the values for β, V p , V g and Z o ? (2) What is the guide wavelength at 3 GHz? (3) Repeat your calculations in (1) and (2) when the line is filled with a dielectric with ε r =2.05. (4) calculate the inductance and capacitance of the transmission line per unit length for both with and without dielectric filled cases,
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2) (34 Pts) A narrow rectangular pulse with 2ns width superimposed on a carrier was used to excite all the possible modes that are propagating in a hollow rectangular waveguide with a=3cm and b=2cm. (1) If the operating frequency is 11GHz, what modes will be propagating in the waveguide? (2) Draw the variation of the field in the cross-section for the longitudinal component of each mode (3) How long will it take each of the excited modes to arrive at a receiving end that is 5m away? (4) In what phase differences are
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161_1_Midterm2_2009 - EE161 Midterm II Name: Grade: 1) (33...

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