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Compare to Solution for Finite Rod

# Compare to Solution for Finite Rod - Let L = 10 r = 1.0...

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Compare to Solution for Finite  Rod From direct integration (Ch. 22), E field at  distance r above center of wire of length L is E = λ 2 πε 0 r 1 1 + 4 r 2 / L 2 4 This becomes our solution on previous  page when L =  Let L = 10, r = 0.5: Gauss’ law too large by ~0.5%

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Unformatted text preview: Let L = 10, r = 1.0: Gauss’ law too large by ~2% Let L = 10, r = 2.0: Gauss’ law too large by ~8% So Gauss’ law solution is fairly accurate as long as r is small compared with L and not close to the endpoints....
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Compare to Solution for Finite Rod - Let L = 10 r = 1.0...

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