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## Homework Statement

A cylindrical shell of radius R and length H has its charge uniformly distributed on its curved surface

Find the electric field at a point P from the axis, a distance r away, measured radially outward from the midpoint of the shell such that R>r

## Homework Equations

φ = ∫

**E⋅dA**= Q

_{enc}/ ∈

_{o}

## The Attempt at a Solution

I constructed a gaussian surface (cylinder) inside the larger cylinder of radius R.

I realize, my chosen gaussian surface encloses no charge ∴ φ & Q

_{enc}are both zero.

I have been told I am not allowed to simply jump and say the E field must also then be zero if the flux is zero, but for this case, since the charge on the outer cylinder is uniformly distributed, does that also mean the net electric field at point P must be zero?

If not, please shed some light on this!

Thank you