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fa09final

# fa09final - Final Exam Physics 2102 Fall 2009 December 8th...

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Page 1 of 16 Final Exam Physics 2102 Fall 2009 December 8th, 2009 Name:_______________________________________ Answer all questions and problems (12). Some questions are multiple choice. You should work these problems starting with the basic equation listed on the formula sheet and write down all the steps. Although the work will not be graded, this will help you make the correct choice and be able to determine if your thinking is correct. On problems that are not multiple choice, be sure to show all of your work since no credit will be given for an answer without explanation or work. These will be graded in full, and you are expected to show all relevant steps that lead to your answer. Please use complete sentences where explanations are asked for. Please be sure that all numerical quantities include appropriate units. The only electronic devices to be used during the exam are standard or graphing calculators. All cell phones should be turned off and put away. Cell phones are not to be used as calculators.

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Page 2 of 16 1) (20 pts) Two point charges, of 5.00 nC and -7.00 nC, respectively, are fixed in place on an xy coordinate plane as shown in the figure. At a point on the plane, P , no charge exists, but there is an electric field due to the presence of the two point charges. a) (7 pts) Calculate the electric potential at point P , taking the potential at an infinite distance to be zero. b) (3 pts) At point P on the figure, sketch (and clearly label) three vectors: the electric field contribution due to the +5.00 nC charge the electric field contribution due to the -7.00 nC charge the net electric field c) (10 pts) Calculate the electric field vector at P in unit vector notation.
Page 3 of 16 2) (16 pts) Consider the following graphs which plot the magnitude of the electric field as a function of r , the distance from the center of a solid sphere of radius R . | i) (4 pts) Which graph represents E ( r ) for a conducting sphere with an excess charge of + Q on it? A B C D E ii) (4 pts) Which graph represents E(r) for an insulating sphere containing a uniform distribution of positive charge? A B C D E

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Page 4 of 16 (Question 2, cont) Circle the Maxwell equation most directly associated with the following statements. iii) An alternating emf is induced in a coil that rotates in a uniform magnetic field. a) Gauss ʼ Law. b) Gauss ʼ Law for magnetic fields (no magnetic monopoles).
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