exam1_fall07

# exam1_fall07 - a b , assuming that V ( = b ) = 0, in terms...

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ECE311 Test 1 October 2, 2007 Name : ID : Problem ABET Outcome Points Score 1 1 10 2 1 10 3 1 10 4 1 10 Total 40 1

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1. (10 points) A uniform charge density ρ 0 C/m 2 exists on the x = a plane and - ρ 0 C/m 2 on the x = - a plane, and these are inFnite in extent in the y and z directions. These charge sheets exist in free space. (a) (6 points) ±ind the electric Feld everywhere. 2
(b) (2 points) Find the force on an electron located somewhere between the two sheets. Please retain the variable q = - e , where e is the magnitude of the charge on an electron. (c) (2 points) How much work was done in assembling this charge distribution, per unit area of charge? 3

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2. (10 points) A coaxial system with two concentric infnitely long conducting cylinders is shown. Assume that the inner conductor ( ρ = a ) has a uniForm change density oF ρ s 0 C/m 2 and that there is no charge on the surFace ρ = c . Assume also that the region external to the conductors is Free space. (a) (5 points) ±ind the electric feld everywhere, in terms oF ρ s 0 . 4
(b) (3 points) Find the potential in the region

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Unformatted text preview: a b , assuming that V ( = b ) = 0, in terms of s . (c) (2 points) Find an expression for the capacitance per unit length. 5 3. (10 points) A semicircular ring of charge in the z = 0 plane, as shown, has uniform charge density C/m. Assume that the charge ring exists in free space. Find an expression for the electric eld at the origin (0 , , 0). 6 4. (10 points) Two infnitely long concentric conducting cylinders are shown. The inner cylinder is at potential V and the outer at V = 0. The material in the region a b has conductivity and permittivity . (a) (5 points) Solve Laplaces equation For the potential as a Function oF position in the region a b . 7 (b) (5 points) Find an expression for the resistance per unit length of the coaxial system, making use of Ohms law. 8...
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## This note was uploaded on 02/04/2012 for the course ECE 311 taught by Professor Peroulis during the Fall '08 term at Purdue University-West Lafayette.

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exam1_fall07 - a b , assuming that V ( = b ) = 0, in terms...

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