Force and Torque of a Clockwise Current Loop in Magnetic Field

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SUMMARY

The discussion focuses on calculating the force and torque on a rectangular loop carrying a clockwise current in a constant magnetic field. The force acts only on the vertical segments of the loop, with a magnitude of F = i a B, where i is the current, a is the width, and B is the magnetic field strength. The torque is calculated as τ = iabB, pointing downward in the negative z direction. A correction was noted regarding the dimensions used in the force calculation, specifically the length of the vertical segments being "b" instead of "a".

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A rectangularl oop carring a clockwise current i is placed in a constant magnetic field B = By. The four corners of the loop are at (x=0, y = +/- a/2, z=+/-b/2 where a and b are positve onstants
find the force and torque, magnitude and direction on each of the four straight lin segments of the loop. Illustrate this device and your answers using a diagram.
force only acts on the vertical (according to the diagram) and points out from the page for y = a/2. For y = -a/2, the force points into th page.
for its magnitude
F = 2 i a B / 2 = i a B Since theta is 90 degrees. B is constant.
the torque points downward in the negative z direction
t=2 (b x F)/2 = b x F = iabB
am i right?
 

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You mixed up your a's and b's in calculating the force. (The length of the vertical segments is "b", not "a".) Other than that, it looks OK.
 

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