
The electric field due to electric potential
(A)
(B)
(C)
(D)
Hint: The electric field at a point is defined as the negative of gradient of the potential at that point, where gradient is the dot product of Del operator with quantity V. Since only the x - component is here we get the final answer with unit vector
Complete step-by-step answer:
As we know that,
This means that change in potential of a point with respect to the distance in 3 axes is termed as electric field. The negative sign is present to show that the potential of a point decreases with distance which will create a negative potential gradient.
Solving the above equation we obtain:
As the expression of electric field is only dependent on x, i.e. the coordinate in the
Therefore, the correct answer is option C.
Note: The potential and potential difference of a point is a scalar quantity but electric field is a vector quantity. An electric field is a vector quantity equal to the negative of the potential gradient.

















