Quizbank/Electricity and Magnetism (calculus based)/Equations

Chapter 5 edit

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

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

  = 8.99×109 m/F



  = field above an infinite plane of charge.

Chapter 6 edit

    = electric flux




Chapter 7 edit

  = 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 8 edit

  defines capacitance.

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


  = stored energy

  = energy density

Chapter 9 edit

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 10 edit

  where  =internal resistance and  =emf.


Kirchhoff Junction:  and Loop:  

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

Discharging an RC circuit:   and  

Chapter 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 = 

Chapter 12 edit

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 13 edit

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

Chapter 14 edit

Unit of inductance = Henry (H)=1V·s/A

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


 ,  , Stored energy= 

  in LR circuit where  .

  in LC circuit where  

Chapter 15 edit

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

Chapter 16 edit

Displacement current   where   is the electric flux.

Maxwell's equations:  


Poynting vector  =energy flux

Average intensity  

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

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