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Stan12
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Homework Statement
An infinitely long cylindrical volume of radius R contains a charge density ρ(s)=ks4 where k is a constant and s is the distance from the axis of the cylinder. Note that this is NOT a constant density.
a) Find the electric field everywhere in space.
b) From your result in part a) find the electrostatic potential inside the cylinder, assuming that the potential vanishes along the axis of symmetry, V(s)|[s=0]=0
Homework Equations
∫E*dA
closed surface : ∫E*dA = Qenc /εo
Qenc = ∫ρ dτ
The Attempt at a Solution
Qenc = k ∫∫∫ s'^4 s' ds'dz'dθ'
it came out to be 2∏klR^6 / 6 εo
flux = kR^5 / 6εo
I'm not sure this is correct so I cannot continue to part b)
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