Given Electric Potential Function Find where field is zero.

[disfunctlguru]

1. The electric potential in a certain region is:
V = ax² +bx +c
where a = 13V/m²
b = -16V/m
c = 59 V

Determine the postion where the electric field is zero. Answer in units of m.

Homework Equations

E = -$$\nabla$$V

The Attempt at a Solution

I know that the Electric Field is the negative gradient of the potential function. I then find that the partials with respect to y and z are zero. Then I find the partial with respect to x is: E_x=-13x+16
Then find the zero to be about 1.23. But it is apparently incorrect. Any help would be appreciated.

 

[Doc Al]

Then I find the partial with respect to x is: E_x=-13x+16

Redo that derivative.

 

[disfunctlguru]

Well the actual partial deriv. is 13x-16. Then I took the opposite to be used as the function of E.

 

[Doc Al]

Well the actual partial deriv. is 13x-16. Then I took the opposite to be used as the function of E.

Double check that.

1. The electric potential in a certain region is:
V = ax² +bx +c

What's the derivative of that function?

 

[disfunctlguru]

Thanks, I can't believe I can do some other complex integration etc and mess up a simple deriv... mind blowing.