- #1
hoarhaykoobas
- 3
- 0
Electric Field within Cylinder - Gauss's Law
Hi, I am new to this forum. I am dying over this problem. Any help would be greatly appreciated.
1. A long cylinder has a uniform fixed charge density \rho=-8.3\times 10^{ - 7} C/m^3. The region outside the cylinder carries no charge. The radius of the cylinder is 0.024m.
(a) What is the electric field at a position inside the cylinder marked "x" which is 0.017m away from the center line of the cylinder? A: -800 N/C
(b) What is the electric field at a position outside the cylinder marked "y", which is 0.035m away from the center line of the cylinder? A: 770 N/C
2. Gauss's Law: \phi= \frac{\sigma A}{\epsilon_{0}}
3. The closest I got to the answer to part (a) is as follows:\\ Q=\rho\times A\times d=-5.11\times 10^{-11}E=K_{e}\frac{Q}{r^2}=-797.55 N/C
Part (b) i just can't seem to apply the same method, which i believe is pretty flawed to begin with.
*My textbook doesn't cover this too deeply and my professor gave this to us as a supplemental problem.
After getting nowhere with the electric flux equations and it's diff forms for part (b), I found this page, which seemed to be exactly what I was looking for but i keep getting the wrong answer: http://hyperphysics.phy-astr.gsu.edu/Hbase/electric/elecyl.html"
Hi, I am new to this forum. I am dying over this problem. Any help would be greatly appreciated.
1. A long cylinder has a uniform fixed charge density \rho=-8.3\times 10^{ - 7} C/m^3. The region outside the cylinder carries no charge. The radius of the cylinder is 0.024m.
(a) What is the electric field at a position inside the cylinder marked "x" which is 0.017m away from the center line of the cylinder? A: -800 N/C
(b) What is the electric field at a position outside the cylinder marked "y", which is 0.035m away from the center line of the cylinder? A: 770 N/C
2. Gauss's Law: \phi= \frac{\sigma A}{\epsilon_{0}}
3. The closest I got to the answer to part (a) is as follows:\\ Q=\rho\times A\times d=-5.11\times 10^{-11}E=K_{e}\frac{Q}{r^2}=-797.55 N/C
Part (b) i just can't seem to apply the same method, which i believe is pretty flawed to begin with.
*My textbook doesn't cover this too deeply and my professor gave this to us as a supplemental problem.
After getting nowhere with the electric flux equations and it's diff forms for part (b), I found this page, which seemed to be exactly what I was looking for but i keep getting the wrong answer: http://hyperphysics.phy-astr.gsu.edu/Hbase/electric/elecyl.html"
Attachments
Last edited by a moderator:
