Help,varifications of problem with rectangle loop and mass

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SUMMARY

The discussion centers on calculating torque in a rectangular loop subjected to magnetic forces and mass. The forces acting on the loop are defined as F1 = I*B*L and F2 = mg - I*B*L, where I is the current, B is the magnetic field strength, L is the length of the wire, and m is the mass. The resulting torque equations are derived, leading to the conclusion that for balance, the current I must equal mg/2BL. This establishes a clear relationship between mass, magnetic force, and torque in the system.

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  • Familiarity with electromagnetism, particularly the Lorentz force law.
  • Knowledge of current (I), magnetic field strength (B), and their units.
  • Basic algebra skills for manipulating equations.
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Pepsi24chevy
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Hey guys, here is a problem i have with the work i have done so far. I am not sure how to factor in the torque due to the mass. I also want to make sure i am doing this correctly. THanks
problem
 
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The magnitude of the force on each wire is F1 = I*B*L down (theeta is 90) and
F2 = mg - I*B*L down
A. Resulting torque = I*B*L*(w/2) - (mg - I*B*L)(w/2) = I*B*L*w - mg(w/2) = 0 (for balance)
B. Resulting torque = (I*A)*B - mg(w/2) = I*L*w*B - mg(w/2) = 0
gives the current I = mg/2BL
 

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