The magnetic field has been measured to be horizontal everywhere along a rectang
ID: 1838311 • Letter: T
Question
The magnetic field has been measured to be horizontal everywhere along a rectangular path x = 23 [cm] and y = 4 [cm] high, as shown in the figure above. Along the bottom, the average magnetic field B_1 = 1.6 Times 10^-4 [T], along the sides, the average magnetic field B_2 = 0.9 Times 10^-4 [T], and along the top the average magnetic field B_3 = 0.4 Times 10^-4 [T]. What can you conclude about the electric currents in the area that is surrounded by the rectangular path (What is the magnitude of the current)? I = 12 [A] I = 22 [A] I = 6.4 [A] I = 10/2 [A]Explanation / Answer
from ampere's law,
Integral of B.dL = u0 Iinside
(B1 - B3) x + B2 y - B2y = u0 Iinside
((1.6 - 0.4) x 10^-4 ) (0.23) = (4pi x 10^-7) Iin
Iin = 21.96 A Or 22 A
Ans( 22 A)
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