y 3x Q4. If , compute the circulation of about a circle C in the 2xiˆ 2 F    y F ˆj xy- 2, C plane with center at origin and radius if is traversed in the positive direction Ans. 8 y2 iˆ 2 3xz2 Q5. a) Prove that cos sin 4 2kˆ is a conservative F  x  z3  y x   ˆj force field. b) Find the scalar potential for . F 70
Q4. If F  y 2xiˆ  3x  2 y ˆj , compute the circulation of F about a circle C in the xy- plane with center at origin and radius 2, if C is traversed in the positive direction Ans. 8 Q5. a) Prove that F  y2 cos x  z3 iˆ  2 y sin x 4 ˆj  3xz2  2kˆ is a conservative force field. b) Find the scalar potential for F . 70