Find the electric field due to an infinitely long cylinder of radius R and uniform charge/volume p, for a) rR. 2) Using your answer from Problem 1), find the electric potential difference AV between = R/2 and r= 2R. You can still get credit even if your answer from Problem 1) is %3D incorrect, if your approach to this problem is correct. Don't be scared by (simple) integrals or a little algebra.

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DFind the electric field due to an infinitely long cylinder of radius R and uniform
charge/volume p, for
a) r<R, and
b) r> R.
2)
Using your answer from Problem 1), find the electric potential difference AV between
radius r= R/2 and r = 2R. You can still get credit even if your answer from Problem 1) is
incorrect, if your approach to this problem is correct. Don't be scared by (simple)
integrals or a little algebra.
Don't worry about minus signs, but at which radius r is the potential higher? Briefly
explain. Think carefully!
Transcribed Image Text:DFind the electric field due to an infinitely long cylinder of radius R and uniform charge/volume p, for a) r<R, and b) r> R. 2) Using your answer from Problem 1), find the electric potential difference AV between radius r= R/2 and r = 2R. You can still get credit even if your answer from Problem 1) is incorrect, if your approach to this problem is correct. Don't be scared by (simple) integrals or a little algebra. Don't worry about minus signs, but at which radius r is the potential higher? Briefly explain. Think carefully!
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