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qz2sol_8701sm10

# qz2sol_8701sm10 - TA Tomoyuki Nakayama Thursday PHY 2048...

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TA: Tomoyuki 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 σ = 6.00 pC/m 2 . A z axis, with its origin at the hole’s 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 Gauss’s 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. Gauss’s law yields ε 0 E(2A) = σ A E = σ /2 ε 0 = 0.339 N/C b) If charge q
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