INSTRUCTION: Answer the following set of problems in a short bond paper. Write (Handwritten) clearly your solution and box your final answer(s). 1. A point charge of 2 nC is placed at a point A in free space. Compute for the difference of potential between two points 20 cm and 10 cm away from the charge at A. 2. Given the electric field ?= - (8???a , +4? ??a, -4? ??a ) W/? , find the differential amount of work done in moving a 6-nC charge a distance of 2 um, starting at P(2,-2, 3) and proceeding in the direction: a a= - -a +za, +za ; b. a = -a - -a - =a ; C. a= =a +. 3. Calculate the work done in moving a 4 C charge from B(1, 0, 0) to A(0, 2, 0) along the path y = 2 - 2x, z =0 in the field : (a) ? = Sa , V/m ; (b) ? = 5?a , V/m; (c) ? = 5?a , + 5?a, V/m 4. An electric field is expressed in rectangular coordinates by ? = 6? za, + 6?a , + 4a, V/m. Find: (a) Vin if points M and / are specified by M(2, 6,-1) and / (-3,-3, 2); (b) VM if V = 0 at Q(4,-2,-35); (C) VN if V = 2 at P(1, 2, -4). 5. If we take the zero reference for potential at infinity, find the potential at (0, 0, 2) caused by this charge configuration in free space (a) 12 nC/m on the line p= 2.5 m, z = 0; (b) point charge of 18 nC at (1, 2,-1); (c) 12 nC/m on the line y = 2.5, z = 0, -1.0