Question

the potential at a point v=5x+8y-2z. what will be the electric field at that point

Answer 1

Answer:

Well, Electric field is nothing but negative gradient of potential. Interpreting the physical significance, “Among all the possible directions, the direction in which potential decreases at the fastest rate (w.r.t. distance) is the direction of resultant electric field (at the concerned point) and that rate of decrement equals the magnitude of the resultant field.” This relation between the two can always be exploited to obtain one from the other (i.e. from potential to field or vice-versa).