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

AI Thread Summary
The electric potential is given by V = 10x^2 - 12x + 63, and the electric field is calculated using the derivative formula E = -dV/dx. The derivative yields E = -20x + 12, resulting in an electric field of -48 V/m when x = 3m. To find where the electric field is zero, setting E to zero gives x = 0.6m. The calculations and approach used to solve the problem are confirmed to be correct.
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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.
 
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