Question #290955

Find the total charge of a cylinder of Radius R and Length L, carrying a charge density that is proportional to the distance from its axis.


1
Expert's answer
2022-01-26T15:30:51-0500

EdA=qε0,\oint\vec Ed\vec A=\frac q{\varepsilon_0},

E(2πr)L=ρπr2Lε0,E(2\pi r)L=\frac{\rho \pi r^2L}{\varepsilon_0},

E=ρr2ε0.E=\frac{\rho r}{2\varepsilon_0}.


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