# Calculate the flux through a cube of size 1.0 m

An E field exists in a region of space and it can be described by:
$$\bar{E} = \hat{i}xy^2$$

Calculate the flux through a cube of size 1.0m, with one end extending into the positive x,y and z directions.

Find the charge enclosed.

I have no idea how to start this? can someone point me in the right direction please?

I know that:
$$\Phi = EA$$

But what does it mean that the E field exists in a region of space?

All help is appreciated.

And im not looking for a solution, but all help will be appreciated.

Cheers

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jtbell
Mentor
I know that:
$$\Phi = EA$$
This applies only if ##\vec E## has the same magnitude everywhere on the surface, and is perpendicular to the surface everywhere. If these are not true, you have to integrate:

$$\Phi = \int {\vec E \cdot \hat n da}$$

Does this ring a bell?

Sorry, not really.
What values do I put in for for $\hat{i}$?
And what's the $\hat{n}$? And do I pull E out of the integration as a constant? Then integrate da just to a?
I'm sorry, I just got into this class two weeks late, and this is due tomorrow. But I'm gonna spend this week catching up.

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vela
Staff Emeritus