1if v2x2-3y2z2nbsprepresents the electrostatic potential at

Question

Vector Analysis

1. If V=2_x²-3_y²+_z² represents the electrostatic potential at a joint, find the electric field intensity at a point (3, 2, -3).

2. A vector field is given as, F=iy+j(x+y²)+k(yz+zx) Find: (i) div (F) (ii) curl (F).

3. Show that F=i(x+y)+j(x+y)+(y-z) represents a conservative field.