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

(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 edit

Magnetic Forces and Fields edit

▭   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  

For quiz at QB/d_cp2.11 edit

cross product

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

Hall effect

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