Electric Potential Homework: E=-20x+12; x=0.6m

[kiwikahuna]

Homework Statement

The electric potential in a certain region is
V = 10x^2 -12x + 63
Determine the electric field at x = 3m. Answer in units of V/m.
Determine the position where the electric field is zero. Answer in units of m.

Homework Equations

E = -(partial derivative V / partial derivative X)

The Attempt at a Solution

I took the derivative of V : V' = 20x -12
E = -20x + 12
I plugged in 3 for x and found that the electric field is -48 V/m.
To find the second part of this problem, I used the same equation and set E = 0. I found x to be 0.6 m.

Is this the right way to work this problem? Thanks.

 

[G01]

Looks good. Nice Job!