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 A) -12x^-3. B) -6x. C) 12x^-3. D) 12x. E) 6x.

Question

Quizplus · Accepted Answer

The relation between electric potential (V) and electric field (E) is given by E = -dV/dx. Thus, differentiating the given potential function with respect to x, we get E = -6/x^2, since all the other terms are constants. The x component of this electric field is simply Ex = -E = 6/x^2. Multiplying by x, we get Ex = 6x^-1. Expressing this in the form 12x^-3, we can see that the correct answer is choice C, since 12 = 6*2 and -1/3 = -⁺.

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