l. [8] Consider a circular loop C of radius A lying on the x-y plane. Assume that the loop C runs in the anti- clockwise direction. (a) Please calculate the line integral (F-dl if 15036) is a polar coordinate 1nction of C (i) 17" = rmf/ 2; and (ii) 13 = 2sin(9 / 39\". (b) Repeat part(a) for a semi-circular are C ' of radius A occupying only in the negative x-axis half of the x-y plane running in the anti-clockwise direction. 2. [8] The surface S is a planar surface on the xy plane created by the circular loop C of radius A as described in Question 1. (a) What is the vector that represents the surface S? (b) Please calculate the surface integral over this open surface [6 dc? if C(r, 6, z) is a cylindrical S coordinate mction of (i) E? = 2(cos Br\" + r3\" 2157); and (ii) (3' = (A / r 2r2)2 / 2