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Lecture 21 - Hall effect. Current loops. Magnetic field by a moving charge

# Lecture 21 - Hall effect. Current loops. Magnetic field by a moving charge

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1 Lecture 21 Hall effect Current loops Hall effect. Current loops. Magnetic field by a moving charge. Hall effect (qualitative) B out of the screen F M v Positive charge carrier E Hall Charge accumulates on the sides of the slab ( positive on top and negative at the bottom). Electric field (electric potential between sides) I Hall effect (quantitative) B F M v q > 0 E Hall L d V H F E Charge stops shifting to the sides to the slab when M E F F M F ILB I H V ILB q d H ILdB q V We can tell the charge of one carrier!!! E H F qE H V q d Force on a square loop of current The square loop below has side length L and carries a current I . The magnetic field B points out of the screen and is uniform. What is the net force on the loop? Magnitude of force is the same on all four sides: F = ILB F B I F F F Net force is zero.

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2 Current loop in a uniform B field ( B in any direction, not necessarily in the plane of the screen) B 0 dl The net force on a closed loop of current in a uniform B field is always zero.
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Lecture 21 - Hall effect. Current loops. Magnetic field by a moving charge

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