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## Homework Statement

A cylindrical shell of radius 8.1 cm and length 247 cm has its charge density uniformly distributed on its surface. The electric field intensity at a point 20.3 cm radially outward from its axis (measured from the midpoint of the shell ) is 41800 N/C.

Given: ke =8.99×10^9 N·m^2 /C^2 . What is the net charge on the shell? Answer in units of C.

## Homework Equations

Gauss's Law

## The Attempt at a Solution

I've been using E=[tex]\lambda[/tex]/2[tex]\pi[/tex][tex]\epsilon[/tex]r

I used the radius from the midpoint (20.3 cm) in place of the r in the equation and used the given E to solve for [tex]\lambda[/tex]. Then I found the area of the cylindrical shell by doing 2.47*2[tex]\pi[/tex]*.081+2[tex]\pi[/tex]*.081 and multiplied that by the [tex]\lambda[/tex]. I ended up with an answer of 6.1288E-7 the last time I did it.

Is the r supposed to be distance from the surface, maybe? or am I using the completely wrong equation?

Thank you!

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