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## Homework Statement

A spaceship encounters a single plane of charged particles, with the charge per unit area equal to σ. The electric field a short distance above the plane has magnitude _____ and is directed _____ to the plane.

a) σ/2∈

_{0}, parallel

b) σ/2∈

_{0}, perpendicular

c) σ/∈

_{0}, parallel

d) σ/∈

_{0}, perpendicular

e) 2σ/∈

_{0}, parallel

## Homework Equations

E = k * (q/r

^{2})

Electric flux = EAcos(φ)

Electric flux = q

_{enclosed}/ ∈

_{0}

## The Attempt at a Solution

I'm given σ = q/A

then q = σA

So i plug this into the electric field equation:

E = kσA/r

^{2}

substitute k = 1/4π∈

_{0}

E = σA/4πr

^{2}∈

_{0}

I can make a gaussian surface as a sphere, who's surface area is 4πr

^{2}and then substitute that in for A,

then E = σ/∈

_{0}

Now i'm not sure how to find the direction and also i'm unsure how to think about this problem. Is the plane under the spaceship or directly in front of it, and what orientation is it at? Am i supposed to find this?