A very long, solid, insulating cylinder with radius R has positive charge uniformly distributed throughout it, with volume charge density p. Derive an expression for the potential difference between a point at the center of the cylinder and a point at the radius R of the cylinder in terms of p, R and other constants from Gauss' law. Show your work. Volume of cylinder of radius R and length l: TR²1 Area of cylinder of radius R and length l: 2tRl R

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A very long, solid, insulating cylinder with radius R has positive charge uniformly distributed throughout it, with volume charge density p. Derive an expression for the potential difference between a point at the center of the cylinder and a point at the radius R of the cylinder in terms of p, R and other constants from Gauss’ law. Show your work

A very long, solid, insulating cylinder with radius R has positive charge uniformly distributed
throughout it, with volume charge density p. Derive an expression for the potential difference
between a point at the center of the cylinder and a point at the radius R of the cylinder in terms of
p, R and other constants from Gauss' law. Show your work.
Volume of cylinder of radius R and length l: TR²1
Area of cylinder of radius R and length l: 2tRl
R
Transcribed Image Text:A very long, solid, insulating cylinder with radius R has positive charge uniformly distributed throughout it, with volume charge density p. Derive an expression for the potential difference between a point at the center of the cylinder and a point at the radius R of the cylinder in terms of p, R and other constants from Gauss' law. Show your work. Volume of cylinder of radius R and length l: TR²1 Area of cylinder of radius R and length l: 2tRl R
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