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# HW4 - ECE604 Homework 4 Out Tuesday February 3 2004(Session...

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1 ECE604 Homework 4 Out: Tuesday, February 3, 2004 (Session 7) Due: Tuesday, February 10, 2004 (Session 9) [Students with tape delays: due according to session number] Problems numbers are from the text by Ramo, Whinnery and Van Duzer (3 rd edition, 1994). 1) 7.12h Give an expression for the added capacitance per unit length AND evaluate numerically. Hints: a) Use a superposition solution 1 2 Φ = Φ + Φ , where 1 o V y / a Φ = is the solution for the parallel plate capacitor without the extra conducting strip. b) In solving for 2 Φ , solve separately for x 0 and x 0 . Once you have the solution for x 0 , the solution for x 0 follows almost by inspection. c) Use your solution for 2 Φ in computing the added capacitance. 2) 2.5 3) 2.6b 4) 2.9c 5) 2.9d 6) 2.12c 7) A solid dielectric cylinder of radius a and length 2L is uniformly polarized with polarization P , where P is directed axially (i.e. ˆ pz = P ; where p = const.). Determine the electric field,

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