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Fa08-MT2-Huang-Exam - University of California Berkeley...

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University of California, Berkeley Physics 7B, Fall 2008 ( Xiaosheng Huang ) Midterm 2 Monday, 11/3/2007 6:30-8:30 PM Name:___________________________ D/L Section:____________________________ 1) (20 pts.) A thin rod of length l carries a total charge Q distributed uniformly along its length. Determine the electric field along the axis of the rod starting at one end. That is, find E ( x ) for x 0 in the figure below, both its direction and magnitude. Answer:
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O R 1 R 2 x σ 2) (20 pts.) A flat ring of inner radius R 1 and outer radius R 2 (see the figure below) carries a uniform surface charge density σ . a ) Find the electric potential along the axis (the x axis), assuming the electric potential at infinity is zero. Answer:
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b ) Find the magnitude and the direction of the electric field along the axis by using the relationship between the electric potential and the electric field. Answer:
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a b 1 b 2 3) (25 pts.) A capacitor consists of two concentric spherically-shaped conductors. The smaller one has radius a , and the larger one has inner radius b 1 and outer radius b 2 .
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