OpenStax University Physics/E&M/Sources of Magnetic 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

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Chapter 12

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Sources of Magnetic Fields

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▭ Permeability of free space   T·m/A
▭ Force between parallel wires  

▭ Biot–Savart law  

▭ Ampère's Law: 
▭ Magnetic field due to long straight wire   ▭ At center of loop  
▭ Inside a long thin solenoid   where   is the ratio of the number of turns to the solenoid's length.
▭ Inside a toroid  

▭ The magnetic field inside a solenoid filled with paramagnetic material is   where   is the permeability


For quiz at QB/d_cp2.12

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Free space permeability   T·m/A
Force between parallel wires  
Biot–Savart law  
Ampère's Law: 
Magnetic field inside solenoid with paramagnetic material =  where  = permeability