# 329sum09he1sol - ECE 329 Hour Exam 1 July 1 2009 a(10 pts...

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Unformatted text preview: ECE 329 Hour Exam 1 July 1, 2009 a) (10 pts) In a certain region of space electrostatic potential is speciﬁed as V(x, y, z) = 2333; + 22 V. Find the corresponding electrostatic ﬁeld E. b) (10 pts) In a certain region of space where e = 60 a static electric ﬁeld of E = 53y + 32:10 + ézV/m is measured. Find the charge density p(:r;,'y, z) in the region. c) (10 pts) Determine the electrostatic potential V(\$, y, 2) corresponding to E given in part (b) if V(0, 0,0) = 0. 2. The region 0 < z < 10 in is occupied by a dielectric with e = 260, but 6 = 60 elsewhere. Also, , D : 24+ 5:2 C/1112for'0 < z < 10 m and D2 = 2 0/1112 for z > 10 m. Given that z = 0 and z = 10 in planes contain surface charges of 6.and p5 C/m2, and given that each of the three regions has uniform static ﬁelds, determine: a) (10 pts) Surface charge density p5 on 2 = 10 in plane, b) (10 pts) Displacement D in region 2 > 10 in, c) (10 pts) Displacement D in region 2 < O. 3. Consider a pair of parallel conductors of an infinite extent in ac and y directions separated in 2 by a distance of d = 2 in; the plates coincide with the z = 0 and z = 2 m planes. In between the plates the electric ﬁeld is E = E02 and E0 > 0. The potential difference between the plates is known to be 4 V. Finally, the permittivity of the region 0 < z < 2 In is e = 360. Determine: a) (10 pts) E0, b) (10 pts) V = V(z) in the region 0 < z < 2 rn subject to V(0) = 0, c) (10 pts) Surface charge density p5 on 2 = 0 surface, d) (10 pts) Polarization P in the region 0 < z < 2 in. ...
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329sum09he1sol - ECE 329 Hour Exam 1 July 1 2009 a(10 pts...

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