4 Determine if each of the following vector fields is divergenceless, conservative, or both? (Include your reasoning) (a

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4 Determine If Each Of The Following Vector Fields Is Divergenceless Conservative Or Both Include Your Reasoning A 1 (153.92 KiB) Viewed 42 times

4 Determine if each of the following vector fields is divergenceless, conservative, or both? (Include your reasoning) (a) S = x x² -ỹ Hy² + 2 Bz (Use your specific H and B from Table 1, problem 1 of this assignment) (sino) (cosu) (b) Y=r 6 r r 5 Three charges are located in free space as below: (Use your specific B, C, D, E, F, G, and H from table 1, problem 1 of this assignment) charge 1: (G*10) µC and fixed at Dx-Ey+ Fz charge 2: (B) uC and fixed at Fx+Gỹ+ H₂ charge 3: (C*10) µC and fixed at Bx+Ey-GZ (a) find the electric field at position P = 2+1ỹ-42. (b) find the force on a 4μC charge located at point P. 6 Two infinitely long parallel wires are carrying different currents in opposite directions, as below. Determine the magnetic flux density at point P in figure 1. (Use your specific B and C from Table 1, Problem 1 of this assignment) I₁=(B+2) Amp 1₂=(C+2) Amp P B =9, C = 0, D = 8, E = 2, F = 4, G= 2, H = 2 0.5m -2m- Fig. 1: Figure for question 6