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ece311_fall05_test1

# ece311_fall05_test1 - a charge density of ρ C/m 2 The...

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ECE311 Test 1 September 21, 2005 Name : ID : Problem ABET Outcome Points Score 1 1 25 2 1 20 3 1 35 4 1 20 Total 100 1

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1. (25 points) Charge density ρ 0 C/m 2 exists on the x = a and x = - a planes for - h z h . Find the force on a charge of Q Coulomb located at P (0 , 0 ,z ), an arbitrary point on the z - axis. 2
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2. (20 points) Find the electrostatic potential at an arbitrary point on the z -axis, V (0 , 0 ,z ), due to the system of four point charges shown. 4
3. (35 points) (a) (20 points) Two concentric and infinitely long conducting cylinders are shown. The inner cylinder carries a charge density of ρ 0 C/m 2 . The outer cylinder is uncharged. Find the electric field for all r . You may find Gauss’s Law useful. 5

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(b) (15 points) Two concentric conducting cylinders are shown. The inner cylinder carries
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Unformatted text preview: a charge density of ρ C/m 2 . The outer cylinder is grounded. Find the electric ±eld for all r . 6 4. (20 points) Draw approximate electric feld lines (lines showing the direction oF the electric feld, with an arrow, appropriately spaced) and equipotential lines (estimate a rough equal potential change between lines) For the charge systems shown. (a) (6 points) (b) (7 points) Assume an infnite ground plane. (c) (7 points) You can assume charged conducting planes that are infnite in extent. 7...
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ece311_fall05_test1 - a charge density of ρ C/m 2 The...

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