OpenStax University Physics/E&M/Magnetic Forces and Fields

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(Vol. 2):    5:Electric Charges and Fields    6:Gauss's Law    7:Electric Potential    8:Capacitance    9:Current and Resistance    10:Direct-Current Circuits    11:Magnetic Forces and Fields    12:Sources of Magnetic Fields    13:Electromagnetic Induction    14:Inductance    15:Alternating-Current Circuits    16:Electromagnetic Waves


Chapter 11

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Magnetic Forces and Fields

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▭  is the force due to a magnetic field on a moving charge.
▭ For a current element oriented along .

▭ The SI unit for magnetic field is the Tesla: 1T=104 Gauss.
▭ Gyroradius Period
▭ Torque on current loop where is the dipole moment. Stored energy
▭ Drift velocity in crossed electric and magnetic fields
▭ Hall voltage = where the electric field is
▭ Charge-to-mass ratio where the and fields are crossed and when the magnetic field is

cross product

, ,
Magnetic force: .
=EXB drift velocity
Circular motion (uniform B field): Period=

Hall effect

Dipole moment=. Torque=. Stored energy=.
Hall field =
Lorentz force =