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2008-final - PHYS 102 General Physics II Final Exam...

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PHYS 102 – General Physics II Final Exam, May 29, 2008 Duration: 130 minutes NAME: .................................................................... Section: ...................... Q.1 (25) Q.2 (25) Q.3 (25) Q.4 (25) Total (100) Suggestions: 1. Read the questions carefully. 2. State the solutions clearly and with necessary comments (explanations). 3. Write legibly. 4. Check your results in terms of dimensions, units, and special limits of the problem. Note: Solutions will be available just after the exam at http://www.fen.bilkent.edu.tr/~phys102
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ρ ( r ) r R Q.1 (25 points) Electrostatics An infinitely-long nonconducting cylinder of radius R carries a nonuniform volume charge density 0 0 ( ) , where r r R ρ ρ ρ = is a known constant and r is the cylindrical radial distance from its axis (see the figure). a) Using Gauss’ law determine the electric field vector everywhere (i.e., r<R and r>R ), b) Determine the corresponding electric potential everywhere, choosing V ( a )=0, i.e., potential reference chosen at r=a where a>R . c) Can you choose infinity as potential reference? Give your reasoning.
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Q.2 (25 points) Magnetic Field
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