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AP Physics C: E&M
13.3 Induced Currents and Magnetic Forces
13.2 Electromagnetic Induction
IntermediateMCQMathematicalProportional Analysis20k
A rectangular conducting loop moving at constant velocity into a uniform magnetic field region.
A rectangular conducting loop moving at constant velocity into a uniform magnetic field region.
Four planar, rectangular conducting loops labeled 1, 2, 3, and 4 are pulled to the right at the same constant speed \(v\) into a region containing a uniform magnetic field \(\vec{B}\) directed into the page. The dimensions and total resistances of the loops are given in the table.

LoopWidth perpendicular to \(\vec{v}\)Length parallel to \(\vec{v}\)Total resistance
1\(L\)\(L\)\(R_0\)
2\(2L\)\(L\)\(2R_0\)
3\(L\)\(2L\)\(2R_0\)
4\(2L\)\(2L\)\(4R_0\)

At an instant when each loop has only its leading edge inside the magnetic field region, which of the following correctly ranks the magnitude of the net magnetic force \(F\) exerted on each loop?

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