If the electric potential in a region is given by V(x) = 6/x², the x component of the electric field in that region is

Question

Quizplus · Accepted Answer

To find the x component of the electric field, we need to take the negative derivative of the potential with respect to x. V(x) = 6/x² Taking the derivative with respect to x: dV/dx = -6/x^2² To obtain the x component of the electric field, we need to multiply by -1 to get the correct direction: E_x = 6/x^2² Simplifying, we get: E_x = 12x^(-2)^(-3) This matches choice C.

If the Electric Potential in a Region Is Given by V(x)