question 15 question 15 question 15 question 15 quesdon Suppose that the magneti

Question

question 15 question 15 question 15 question 15 quesdon Suppose that the magnetic field strength is given by B-1.14zl T, however, the direction of the magnetic field switches between the upper and lower halves of the y-z plane (see figure). Find the magnitude of the force in Newtons on a square loop of side length 0.514 m carrying a current of 4.68 A lying in the y-z plane and centered at the origin. The direction of the current is shown in the figure. (Hints: Notice that the field strength varies with the z-coordinate. Consider symmetry arguments using the right hand rule.) Activity Details Starts Feb 25, 2018 1.56 AM Ends Mar 4, 2018 11.30 PM

Explanation / Answer

given
B = 1.14|z|
a = 0.514 m
i = 4.68 A

now force on a currentcarrying conductor is givne by
dF = Bi*dl

hence
for the top halffrom sy,,etry the left and the right half sides force cancel each other , and so is the case for the side halfes of the bottom portion of the loop
so net force = F = 1.4*(a/2)ia + 1.4*(a/2)*ia ( using F = BiL)
F = 1.4*ia^2 = 1.731012192 N ( upwards)

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