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qz1f08sol - September 5 2008 PHY2054 Discussion-Fall 08...

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September 5, 2008 PHY2054 Discussion-Fall ‘08 Quiz 1 (Chapter 15.1-15.6) Name: UFID: *1. (5pts) A glass object is charged to +6.00 nC by rubbing it with a silk cloth. In the rubbing process, how many of the electrons are removed from it? (Electronic charge - e = -1.60 × 10 -19 C) The total charge of electrons removed from the glass is -6 nC. Since each electron has the charge of -1.60 × 10 -19 C, the number of electrons is given by n = -6 × 10-9/-1.60 × 10 -19 C = 3.75 × 10 10 **2. (5pts) Three point charges lie along the x -axis. The negative charge q 1 = -2 μC is at the origin and the positive charge q 2 = +6 μC is at x = +2.00 m. Where must a negative charge q 3 be placed on the x -axis so that the resultant electric force on it is zero? We take +x axis to the right. For the net force to be zero, q 3 must be nearer to q 1 than to q 2 because | q 2 | is larger than |q 1 |. Also, q 3 should be left of the q 1 since the electric forces exerted by q 1 and q 2 have to be opposite in directions. Thus x<0. Applying the equilibrium conditionΣF = 0, we have 0 = F 1 +F 2 = -k|q 1 ||q 3 |/|x|²+k|q 2
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