EEE224_Fall09_ProblemSet5_solutions

# EEE224_Fall09_ProblemSet5_solutions - EEE-224 PROBLEM SET 5...

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EEE-224 PROBLEM SET # 5 - Solutions (Steady Electric Currents) Q.1) The interface between the two lossy media extends over the xy-plane. The fields are constant in their respective media. Given that: 11 ˆˆ 32 ˆ x xy EE a a a =− + z (V/m) in medium 1 22 4 2 ˆ x yy zz Ja J a J =+ + a (A/m 2 ) in medium 2 (a) Find 1 x E , 2 y J and 2 z J . (b) Find the surface charge density s ρ at the interface z = 0. (c) Find the dissipated power density in both media. 10 2 ε = 1 E 1 J 2 E 2 J 1 3 σ = 20 3 = 2 4 = 1

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Q.2) Find the resistance and capacitance between two concentric spherical surfaces of radii R 1 and R 2 (R 1 < R 2 ), assuming that a material of conductivity ( ) 0 1/ kR σσ =+ fills the space between them (assume permittivity ε is constant). ( Note: Laplace equation for V does not apply here, because material is inhomogoneous. ) 3

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Q.3) Two identical conducting plates, each having area A, are located at z=0 and z=d . The region between the plates is filled with a material having z-dependent conductivity,
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EEE224_Fall09_ProblemSet5_solutions - EEE-224 PROBLEM SET 5...

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