Quizbank/Electricity and Magnetism (calculus based)/Equations

Chapter 5Edit

  8.85×10−12 F/m = vacuum permittivity.

e = 1.602×10−19C: negative (positive) charge for electrons (protons)

  = 8.99×109 m/F

  where  

  where  

  = field above an infinite plane of charge.

Chapter 6Edit

    = electric flux

 

  where  

 

Chapter 7Edit

  = electric potential

 

  = change in potential energy (or simply  )

 

Electron (proton) mass = 9.11×10−31kg (1.67× 10−27kg). Elementary charge = e = 1.602×10−19C.

 =kinetic energy. 1 eV = 1.602×10−19J

  near isolated point charge

Many charges:  .

Chapter 8Edit

  defines capacitance.

  where A is area and d<<A1/2 is gap length of parallel plate capacitor

     

  = stored energy

  = energy density

Chapter 9Edit

Electric current: 1 Amp (A) = 1 Coulomb (C) per second (s)

Current= , where

  = (density, charge, speed, Area)

  where   =current density.

  = electric field where   = resistivity

 , and  ,

where   is resistance

  and Power= 

Chapter 10Edit

  where  =internal resistance and  =emf.

  and  

Kirchhoff Junction:  and Loop:  

Charging an RC (resistor-capacitor) circuit:   and   where   is RC time,   and  .

Discharging an RC circuit:   and  

Chapter 11Edit

 
cross product

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

 
Hall effect

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

Chapter 12Edit

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

Chapter 13Edit

Magnetic flux  
Motional   if  
Electromotive "force" (volts)  
rotating coil  

Chapter 14Edit

Unit of inductance = Henry (H)=1V·s/A

Mutual inductance:   where  =flux through 1 due to current in 2. Reciprocity 

Self-inductance:  

 ,  , Stored energy= 

  in LR circuit where  .

  in LC circuit where  

Chapter 15Edit

AC voltage and current   if  
RMS values   and  
Impedance  
Resistor   where  
Capacitor   where  
Inductor   where  
RLC series circuit   where   and  
Resonant angular frequency  
Quality factor  
Average power  
Transformer voltages and currents  

Chapter 16Edit

Displacement current   where   is the electric flux.

Maxwell's equations:  
 
 
 
 


  and  

Poynting vector  =energy flux

Average intensity  

Radiation pressure   (perfect absorber) and   (perfect reflector).

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