Fa08-MT2-SunRev1-Probs

Fa08-MT2-SunRev1-Probs - 2 2 Two Wires d d-Î Î x y Figure 2...

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Practice Midterm 2 Aritoki Suzuki November 2 nd 2008 I designed this practice midterm to be approximately half-length ( 1 hour) of actual exam. Combine this practice midterm with Jason’s practice midterm, you should have full-length practice exam. I have not seen Professor’s exam. Professor does not endorse this review as good simulation of his exam. If you have a question about the review problems, e-mail Aritoki Suzuki at [email protected] 1

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1 Diamond Circuit K a L b C C C C C V Figure 1: Cacapitor. Circuit Diagram Suppose we have a circuit as shown on a diagram in Figure 1. Capacitors are designed from two conducting cylinders with inner radius a and outer radius b . Each cylinder has length L . Cylinder capacitor is filled with dielectric with dielec- tric constant K . a) Find capacitance C b) Simplify circuit diagram to just a power source and single capacitor. Find C eff of simplified capacitor. c) Find amount of charge on one of the plate of upper left capacitor. d) Find amount of energy stored in capacitor in middle

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Unformatted text preview: 2 2 Two Wires d d-Î» Î» x y Figure 2: 2 uniformly charged wires at-d and d Suppose there is uniformly charged inifinitely long wire at x =-d and x = d as shown in Figure. Wire at x =-d has uniform charge density-Î» , and wire at x = d has uniform charge density Î» . a) Find electric field on x,y,z-axis (z-axis is coming out of paper). b) How much work does it take per length of wire to move negatively charged wire to x =-2 d and positively charged wire to x = 2 d ? 3 3 Floating Mass g M R H z y x Q Figure 3: Object with mass M with charge Q at height H above a disk with charge density Ïƒ = ar 2 A disk with radius R and charge density Ïƒ = ar 2 is located on x-y plane as shown. I want to place an object with mass M and charge Q somewhere on z-axis such that it floats. Assume force of gavity is pointing in-Ë† z direction with magnitude Mg , find H . You donâ€™t have to do nasty algebra at the end. Set up and equation to solve H . 4...
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