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### qz2sol_8701sm10

Course: PHY 2049, Summer 2010
School: University of Florida
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Word Count: 403

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Tomoyuki TA: Nakayama Thursday, May 27, 2010 PHY 2048: Physic 2, Discussion Section 8701 Quiz 2 (Homework Sets #3 &amp; #4) Name: UFID: Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator. You need to show all of your work for full credit. ________________________________________________________________________________ In the figure below right, a small...

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Tomoyuki TA: Nakayama Thursday, May 27, 2010 PHY 2048: Physic 2, Discussion Section 8701 Quiz 2 (Homework Sets #3 & #4) Name: UFID: Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator. You need to show all of your work for full credit. ________________________________________________________________________________ In the figure below right, a small circular hole of radius R = 3.00 cm has been cut in the middle of an infinite, flat, nonconducting surface that has uniform charge density = 6.00 pC/m2. A z axis, with its origin at the holes center, is perpendicular to the surface. We are going to find out the electric field at point P at z = 5.00 cm in a following way: a) Applying Gausss law, find the electric field at point P due to the nonconducting surface before the hole was cut. We take our Gaussian surface to be a cylinder which has end caps of area A parallel to the flat surface. Then the electric field is perpendicular to the end caps and parallel to the round surface of the cylinder. Gausss law yields 0E(2A) = A E = /20 = 0.339 N/C b) If charge q is uniformly distributed a around ring of radius r, the electric field due to the ring along its central axis is given by E = kqz/(z2+r2)3/2 k. Use this fact to find out the electric field at point P due to a disk of radius R that is centered at the origin and has uniform charge density . The charge on a ring with a radial width dr is expressed in terms of as q= (2rdr) and it produces an electric field dE = kz(2rdr)/(z2+r2)3/2 . We consider a disk to be made out of concentric thin rings and add electric fields due to individual rings. Therefore, the electric field due to the disk of radius R is Ed = kz(2rdr)/(z2+r2)3/2 = 2kz(1/s3/2)(ds/2) = -2kz[1/(z2+r2)]|0R= 2kz[(1/z) - (1/(z2+r2))] = (/20 )[1-1/(1+(r/z)2) ] = 0.0483 N/C c) Use the superposition principle to obtain the electric field due to the nonconducting surface after the hole was cut. According to the superposition principle, the electric field due to a flat surface w/o a hole is given by the vector sum of the field due to the surface with a hole and that due to the removed disk. Therefore, after the hole was cut, the electric field is E + Ed = E E = E Ed = 0.339 0.0483 = 0.291 N/C
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University of Florida - PHY - 2049
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University of Florida - PHY - 2049
TA: Tomoyuki NakayamaThursday, June 17, 2010PHY 2048: Physic 2, Discussion Section 8701Quiz 4 (Homework Sets #6 &amp; #7)Name:UFID:Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator.You need to show all o
University of Florida - PHY - 2049
TA: Tomoyuki NakayamaThursday, July 1, 2010PHY 2048: Physic 2, Discussion Section 8701Quiz 5 (Homework Sets #8 &amp; #9)Name:UFID:Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator.You need to show all of
University of Florida - PHY - 2049
TA: Tomoyuki NakayamaFriday, July 2, 2010PHY 2048: Physic 2, Discussion Section 8702Quiz 5 (Homework Sets #8 &amp; #9)Name:UFID:Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator.You need to show all of y
University of Florida - PHY - 2049
TA: Tomoyuki NakayamaFriday, July 2, 2010PHY 2048: Physic 2, Discussion Section 8704Quiz 5 (Homework Sets #8 &amp; #9)Name:UFID:Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator.You need to show all of y
University of Florida - PHY - 2049
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TA: Tomoyuki NakayamaThursday, June 3, 2010PHY 2048: Physics 2 with Calculus, Summer C 2010Review (Chapter 26.1- 27.9)The purpose of this review is to refresh your memory. Physics is a cumulative subject, so make itsure that you understand basic conc
University of Florida - PHY - 2049
TA: Tomoyuki NakayamaThursday, June 17, 2010PHY 2048: Physics 2 with Calculus, Summer C 2010Review (Chapter 28.1- 28.10)The purpose of this review is to refresh your memory. Physics is a cumulative subject, so make itsure that you understand basic co
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University of Florida - PHY - 2049
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