Hello, could someone please assist me in solving the solution to this Physics Pr
ID: 1307041 • Letter: H
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Hello, could someone please assist me in solving the solution to this Physics Practice Problems? Please, show work on a SEPARATE SHEET OF PAPER, with CLEAR IMAGES. Thank you!
The goal of this problem is to determine a rule for when curl is/is not zero based on visual inspection of a plot of a vector field alone. Given the following two vector field functions: Make plots of them. Again, just consider the x-y plane for easy visualizing. Predict their curl. This is hard because you haven't done it before. But don't cheat and look at the math first. Force yourself to write something down. What's your initial intuition? Calculate their curl. Compare to your predictions. Come up with a rule in plain English that you can apply, given just a plot of a vector field (i.e. no mathematical equation), that will allow you to predict if the curl is zero or not for that plot.Explanation / Answer
Both of these functions have non-zero curl (intuition)
The curl of the first function is 2 in the z-direction and the curl of the 2nd is 1 in the z direction.
Rule: If the change in the x component of a vector with a small change in its y-position is equal to the change in the y component in the vector with an equally small change in its x-position, the curl of the vector is zero. This rule applies to 2-D sample spaces.
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