ELE 404 Quiz: Quiz-1 solution

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Ax = sin cos ar + cos cos a sin a . Ay = sin sin ar + cos sin a + cos a . A = sin ax + cos ay. 4 0|~r ~r |3 (b) (2 marks)determine the total charge (q) on the ring. (c) (2 marks) if h a, show that ~e is similar to the eld due to a point charge, q placed at the center of the ring. ~r ~r = a a + h az (1/2 mark) |~r ~r | = a2 + h2 (1/2 mark) ( cos ax + sin ay)d + ahz . 4 o[a2 + h2]3/2 [2a2 ay + ah az] (1/2 mark) Q = z ldl = z lad = laz . 0 d = la = a l (1. 5 marks) If h a we set a h 0, thus. 1 h3 az] a2 h3 ay + ( a l)

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