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## Homework Statement

A space has an uniform electric field

E=(5.00 x 10^3 N/C)[itex]\widehat{x}[/itex] + (6.00 x 10^3 N/C)[itex]\widehat{y}[/itex] + (7.00 x 10^3 N/C)[itex]\widehat{z}[/itex].

Find the electric-charge density distribution p(r) in this space.

## Homework Equations

u = (1/2)(ε

_{o})(E^2) , where ε

_{o}is the constant called the permittivity of free space and = 8.85x10^-12 C^2/N*m^2

I used the equation above, but I was unsure if I was using the correct equation. I thought I maybe should have used one of Maxwell's equations instead: div*E=(ρ)/ε

_{o}

## The Attempt at a Solution

magnitude of Electric Field = sqrt((5.00 x 10^3 N/C)

^{2}+ (6.00 x 10^3 N/C)

^{2}+ (7.00 x 10^3 N/C)

^{2})

magnitude of E = 10488.1 N/C

u = (1/2)(8.85x10^-12 C^2/N*m^2)(10488.1 N/C)^2

u = 4.87 x 10^-4 C/m^2

Is this the correct way to solve this problem?