- #1

doggydan42

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## Homework Statement

The electric field at 2 cm from the center of long copper rod of radius 1 cm has a magnitude ##3 \frac{N}{C}## and directed outward from the axis of the rod. (a) How much charge per unit length exists on the copper rod? (b) What would be the electric flux through a cube of side 5 cm situated such that the rod passes through opposite sides of the cube perpendicularly?

## Homework Equations

For a cylindrical symmetry: $$\phi = 2\pi rLE$$$$\phi = \frac{q}{\epsilon_0}$$$$\lambda = 2\pi r\epsilon_0 E$$

Where ##\lambda## is the linear charge density, ##\phi## is the flux, and L is the length.

I know I am missing an equation, which is the equation I am trying to find.

## The Attempt at a Solution

For the first part, I solved for ##\lambda## to be ##3.34\times10^{-12}\frac{C}{m}##. I know that this must be used in the second part, but I am unsure of how to include the cube into the equation.

Thank you in advance