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Final-Fall-2005-06 - Physics 211 Final Exam Your name ID...

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Physics 211 Final Exam January 23, 2006 Your name: ID number: Time given: 120 minutes Please provide your reasoning for each step of your solution (providing an answer without a solution is not enough) 1
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Problem 1 A uniformly charged rod AB has a length L and an unknown negative charge density λ . Two given positive charges Q and 2Q are located at the points C and D, as shown on the Figure 1. Find the value of λ if | AC | = | BD | = L 2 and it is known that the total electrostatic force acting on the charge Q is zero. 2
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Problem 2 A uniformly charged insulating spherical shell has the internal and external radii R and 2 R and the volume charge density ρ , as shown on the Figure 2. Find the potential difference Δ V OA = V A - V O between the points O and A if | AO | = 3 R . 3
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Problem 3 A spherical capacitor consists of two conducting spheres with the radii R and 3 R The space between the spheres is partially filled with the dielectric having the form of the spherical shell with the internal and external radii R and 2 R , as shown on the Figure 3.
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