- #1
smantics
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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)(εo)(E^2) , where εo 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)/εo
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?