Charge enclosed in cylinder question

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The discussion revolves around calculating the total charge enclosed in a circular cylinder given an electric field expression. The electric field inside the cylinder is defined, and the relevant equations for total charge are provided. The initial approach involves evaluating surface integrals for different sides of the cylinder, but the user encounters confusion regarding the direction of the electric field. Ultimately, the user resolves their issue and indicates they will share the solution if there is interest. The problem highlights the importance of knowing the electric field direction for accurate calculations.
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Homework Statement


The electric field inside a circular cylinder of radius r = a and height z = h is given by: E = Az[(-c/h)+(b/6(epislon zero)*(3z^2 - h^2)
where c and b are constants. Assuming the medium within the cylinder is free-space, find the total charge enclosed within the cylinder.

Homework Equations


Qtot = int(int(D*ds)) = int(int(int(rho*dv)))
D = epsilon*E

The Attempt at a Solution


Surface integral of each side (1-top, 2-side, 3- bottom)
1 & 3 = 0
2 = h*pi*r^3

not sure what to do from here?***Nevermind, I figured it out I think. I'll post the solution if anybody wants it.
 
Last edited:
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The direction of the E fierld is not given, making it impossible to answer the problem.
 

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