Asked by Jessica
In a certain region of space the electric potential is V= 5x-3x^2y+2yz^2. Find the expressions for the x,y,z compenents of the electric field in this region. What is the magnitude of the field at the point P, which has coordinates 1,0,-2)m?
I don't know how to start this problem..is there a formula to use? Any help would be greatly appreciated!
I don't know how to start this problem..is there a formula to use? Any help would be greatly appreciated!
Answers
Answered by
drwls
The E field in direction x is
Ex = -dV/dx (partial deriviative)
and similarly for Ey and Ez
Ey = -dV/dy
Ez = -dV/dz = -4yz
Do the other two partial derivatives, and then plug in the appropriate x,y,z values for that point.
As the final step,
|E| = sqrt(Ex^2+Ey^2+Ez^2)
Ex = -dV/dx (partial deriviative)
and similarly for Ey and Ez
Ey = -dV/dy
Ez = -dV/dz = -4yz
Do the other two partial derivatives, and then plug in the appropriate x,y,z values for that point.
As the final step,
|E| = sqrt(Ex^2+Ey^2+Ez^2)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.