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(10%) Problem 4: In a given coordinate system shown at right, a particle with ch

ID: 1879053 • Letter: #

Question

(10%) Problem 4: In a given coordinate system shown at right, a particle with charge q 84 HC sits at the origin. The coordinates of point A are (0, 5) m. The coordinates of point B are (5,0) m. The coordinates of point C are (5, 5) m. The coordinates of point D are (5,-5) m. (5, 5) (0, 5) B (5,0) D (5,-5) Otheexpertta.com - 25% Part (a) How much work is done by the field in moving a proton from point A to point B in J? 25% Part (b) How much work is done by the field in moving a proton from point C to point D in J? 25% Part (c) How much work is done by the field in moving a pr ton from point C to point A in J? 25% Part (d) How much work is done by the field in moving a proton from point D to point B in J?

Explanation / Answer

Va = kq/r = (9 x 10^9 x 8.4 x 10^-6)/5 = 15120 V

Vb = Va = 15120 V

Vc = (9 x 10^9 x 8.4 x 10^-6)/sqrt(5^2 + 5^2) = 10691.45 V

Vd = Vc

A) Wab = 0

B) Wcd = 0

C) Wca = (1.6 x 10^-19)(10691.45 - 15120) = - 7.09 x 10^-16 J

D) Wdb = - 7.09 x 10^-16 J

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