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(Solved): 22. A square loop of current is in a magnetic field. a. If the field is uniform, is there always a ...



22. A square loop of current is in a magnetic field.
a. If the field is uniform, is there always a net force, never a net for

22. A square loop of current is in a magnetic field. a. If the field is uniform, is there always a net force, never a net force, or sometimes a net force? Explain or prove your answer mathematically. If you said sometimes, explain under what circumstances you get a net force and under what circumstances you do not get a net force. b. If the field is NOT uniform, is there always a net force, never a net force, or sometimes a net force? Explain or prove your answer mathematically. If you said sometimes, explain under what circumstances you get a net force and under what circumstances you do not get a net force.


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Solution (a) :

When a square loop of current is placed in a uniform magnetic field, there will be a torque acting on the loop, but there will be no net force. This can be proven mathematically using the Lorentz force law:

  

F is the force,
I is the current,
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