Question on Electrical Work done..

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A cone made of insulating material has total charge Q spread uniformly over its sloping surface. Calculate the work done in bringing a small test charge q from infinity to the apex of the cane. The cone has a slope length L.

#Physics #Electricity and magnetism

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Euclid ·2010-10-27 03:40:49

its simply the poetential due the cone at its vertex multiplied by the charge q...

y/r = x/L => y= xr/L

dq = 2Î ydxÏƒ = 2Î rÏƒxdx/l

for this ring potential at vertex = dV = âˆ«kdq/x

integrating from 0 - L ,

V = 2Î krÏƒ = Q / 2Î Îµ₀L

Now work done = Vq = Qq / 2Î Îµ₀L

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Basic Integral Calculus Operators Symbols Matrix Cases

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∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

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Question on Electrical Work done..

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