First Midterm with Solutions

First Midterm with Solutions - 1 F irst M idterm P HYI32,...

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1 First Midterm PHYI32, Oct. 8,2010 PRINT yom name and indicate yom recitation section (M, W or TH):~/.<I? / ~ / / 6.' /"/1 ~ '£"""--7_/"/",v"/ '/r-;i 1 .' Prob.l Prob.2 Prob. 3 Total Express your solution through formulas; explain the logic ofwhat you do, and substitute numbers, if required, only at the end. We will take points off if you do not show your solution in terms of formulas before showing your calculations, Points will be also taken offfor excessive or insufficient precision and for the absent or wrong units at the ends ofcalculations. Problem 1: Calculating potential and field from a continuous charge distribution [35 points] Electric charge Q is uniformly distributed over a straight line extending from zero to d on the x- axis: ~~ c\ -+}Z::. . :::.--------- (-- ~', oAdtr- 0 \p ~~illR1&Wf;¥ttjHW~Iitt~MMtWl1:~;, .) X 1 ' ' qtL : p I I I V d .... - - - - - - - - - - - - - - - - - ..... - - - - - - - - - - - - - - - - .-' I I a). Prove that electric potential V p at a point P on an x axis is given by Vp (p) = KQ In(1 +!!. ...) d P where p is the distance from the end of the charged line to point P [You will need to set up and evaluate an integral over infinitesimal contributions dV p from intervals oflengths dx ofthe charged
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This note was uploaded on 10/14/2010 for the course PHY 132 taught by Professor Rijssenbeek during the Fall '04 term at SUNY Stony Brook.

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First Midterm with Solutions - 1 F irst M idterm P HYI32,...

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