Consider the two vector [functions shown above (a) For each of the vector functi
ID: 3162980 • Letter: C
Question
Consider the two vector [functions shown above (a) For each of the vector functions, determine if the divergence is zero, positive or negative. Justify your answer either numerically or graphically (b) For each of the vector functions, determine if the curl is zero, positive or negative. Justify your answer either numerically or graphically (c) If vector function A represents an electric held, is the potential higher at point a or b? Why? (d) Which of the two vector functions is plausible electrostatic field? Why? (e) Is the work done along the two paths, represented by the dashed lines, between a and b different? Explain why or why not.Explanation / Answer
(a) The divergence of both vector functions is zero as the vectors are not diverging about a point.
(b) The curl of both vector functions is zero as the vectors are not curling about a point.
(c) The potential is higher at a compared to the position b.
(d) Vector function A is a plausible electrostatic field.
(e) The work done along both the paths is the same because in electromagnetism, work done is path independent.