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Unformatted text preview: Electromagnetics Workshop Final Review Final Review Problems & Solutions Problem 1: A cylindrical capacitor with inner radius a and outer radius b is filled with an inhomogeneous dielectric having k = , where k is a constant. Calculate the capacitance per unit length of the capacitor. Problem 1 Solution: C dS d = D n l l [ ] 2 0 0 V/m 2 k E d dz E k = = l l l l ( 29 [ ] V 2 2 a b b a d k k - = - = l l ( 29 [ ] 2 F/m k Q C b a = = - l l 1 Electromagnetics Workshop Final Review Final Review Problems & Solutions Problem 2: The cross-sectional view of an air-filled coaxial capacitor with spacers made out of material with permittivity is shown in the figure below. (a) Find the capacitance per unit length of this coaxial line in terms of , a , b , and . (b) If the spacers are to be made out of mica ( 29 6 = , determine the angle such that only 10% of the total energy stored by the capacitor is stored in the spacers. (c) Consider the capacitor without the spacers (i.e....
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- Fall '08