# tsl348 - Intermediate Exam I Problem#1(Spring'06 Consider a...

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Intermediate Exam I: Problem #1 (Spring ’06) Consider a point charge q = +8 nC at position x = 4 m, y = 0 as shown. (a) Find the electric field components E x and E y at point P 1 . (b) Find the electric field components E x and E y at point P 2 . (c) Find the electric potential V at point P 3 . (d) Find the electric potential V at point P 2 . 8nC x y P 2 P 3 4m 3m P 1 Solution: (a) E x = 0 , E y = k 8nC (3m) 2 = 7 . 99N / C . (b) E x = - k 8nC (5m) 2 cos θ = - 2 . 88N / C × 4 5 = - 2 . 30N / C . E y = k 8nC (5m) 2 sin θ = 2 . 88N / C × 3 5 = 1 . 73N / C . (c) V = k 8nC 4m = 17 . 98V . (d) V = k 8nC 5m = 14 . 38V . tsl348 – p.1/3

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Intermediate Exam I: Problem #2 (Spring ’06) Consider a conducting sphere of radius r 1 = 1 m and a conducting spherical shell of inner radius r 2 = 3 m and outer radius r 3 = 5 m. The charge on the inner sphere is Q 1 = - 0 . 6 μ C. The net charge on the shell is zero. (a) Find the charge Q 2 on the inner surface and the charge Q 3 on the outer surface of the shell. (b) Find magnitude and direction of the electric field at point A between the sphere and the shell.
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tsl348 - Intermediate Exam I Problem#1(Spring'06 Consider a...

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