A region contains a uniform electric field E =(10 i +30 j ) Vm ⁻¹ . A and B are two points in the field at (1,2,0) m and (2,1,3) m , respectively. The work done when a charge of 0.8 C moves from A to B in a parabolic path is

Step-by-step solution

Using E = d V d r or, dV = E dr Displacement, dr = r _ B - r _ A aligned & =(2 i + j +3 k )-( i +2 j ) & =(10 i +30 j )( i - j +3 k ) & =10 i i -30 i j +0 & =10-30=-20 aligned Work done, W = q | dV |=0.8(20)=16 ~J