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Eight wires cut the page perpendicularly at the points shown in the figure. A wi

ID: 1259197 • Letter: E

Question

Eight wires cut the page perpendicularly at the points shown in the figure. A wire labeled with the integer k (k = 1,2,...,8) carries the current ki where i = 1 A. For those with odd k, the current is out of the page; for those with even k, it is into the page. Evaluate the closed integral B dot dl along the closed path in the direction shown.

Please show all work and explain your methods

Eight wires cut the page perpendicularly at the points shown in the figure. A wire labeled with the integer k (k = 1,2,...,8) carries the current ki where i = 1 A. For those with odd k, the current is out of the page; for those with even k, it is into the page. Evaluate the closed integral B dot dl along the closed path in the direction shown. Please show all work and explain your methods

Explanation / Answer

B.dl = 1.26*10^-6*(7-6+1+3) = 6.3*10^-6 T.m