Electric field and potential: 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 (with respect to x) of the electric potential V(x). This gives us: E_x = -dV/dx = -d/dx (6/x) = -(-6/x^2) = 6/x^2 Then we can substitute the given expression for x into this equation: E_x = 6/(x^2)(sqrt(1 + (1/2)^2)) = 12x/(x^2 + 4)^(3/2) Simplifying this expression, we get: E_x = 12x^-3

Electric Field and Potential: If the Electric Potential in a Region