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 = Exi Eyj + Ek = - (∂/∂xi + ∂/∂yj + ∂/∂zk)V Here, del(∂) indicates that variation is considered only in one direction (X,Y or Z).
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