# Electric Flux

Given the 3 dimensional electric field, $\vec{E}$ = 200 $\frac{N}{C}$ $\hat{i}$ + 300 $\frac{N}{C}$ $\hat{j}$ + 400 $\frac{N}{C}$ $\hat{k}$ , and an area vector $\vec{A}$ = 0.2 m$^2$ $\hat{i}$ + 0.3 m$^2$ $\hat{j}$, find the electric flux. (this is a calculus based physics problem)

## Related Problems

Two objects, whose charges are +3 nC and -2 nC, are separated by 1.0 mm. Find the magnitude of the attractive force that either charge exerts on the other.

In the figure below, L = 1.0 mm, q$_1$ = +3 nC, q$_2$ = -2 nC, and q$_3$ is +4 nC. Find the magnitude and direction of the net electrostatic force on q$_3$

Below is a figure depicting a uniform electric field, E = 400 N/C at an angle $\theta$ = 40$^\circ$ above the horizontal. The red line represents a rectangle, going into the page, with area, A = 0.20 m$^2$. Find the electric flux through the rectangle.

A uniformly charged sphere has a radius of 40 cm and a total charge of 80 nC spread throughout its volume. If the following sections were removed from the sphere, how much charge would they contain?

A. A Spherical section with a radius of 10 cm

B. A cubical section with sides of 5.0 cm

C. A cylindrical section with radius 8.0 cm and length 15 cm