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https://texercises.com/exercise/force-on-loop-of-wire/
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Exercise:
A rectangular loop of wire with resistance RO is moved o a homogeneous magnetic field with strength BO whose field lines are perpicular to the loop area. The width of the rectangle is LO. Calculate the force required to keep the velocity of the loop constant at vO while it enters the magnetic field.

Solution:
The emf induced in the loop is mathcalE v B L The resulting current through the loop is I fracmathcalER fracv B LR The force acting on the part of the loop in the magnetic field is F_B I L B fracv B LR L B FF fracv B^ L^R F approx resultFP
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Exercise:
A rectangular loop of wire with resistance RO is moved o a homogeneous magnetic field with strength BO whose field lines are perpicular to the loop area. The width of the rectangle is LO. Calculate the force required to keep the velocity of the loop constant at vO while it enters the magnetic field.

Solution:
The emf induced in the loop is mathcalE v B L The resulting current through the loop is I fracmathcalER fracv B LR The force acting on the part of the loop in the magnetic field is F_B I L B fracv B LR L B FF fracv B^ L^R F approx resultFP
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Branches
Magnetism
Tags
electromagnetic induction, induced current, induced emf, motional emf
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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