Question

What is Relation between Gravitational Potential and Field?

Answer

If gravitational field intensity is E, then for a small displacement dr, the change in gravitational potential is given by dV = V (r₂) - V (r₁) = - ∫r₂ r₁ E.dr where, r₁and r₂ are two position vectors. Hence, electric field (E) can be given by E = E_xi E_yj + E_k = - (∂/∂xi + ∂/∂yj + ∂/∂zk)V Here, del(∂) indicates that variation is considered only in one direction (X,Y or Z).