H            Electric Potential Energy
                                 and Electric Potential
H
                         
             
                         
    Electric Potential Energy (Joules)

Capacitors exist everywhere. Nature has evolved nerve cells of which the axons are capacitors of a sort!
By creating a capacitor (cell membrane) and an Electric Field between the surfaces of the cell membrane we are able to store energy in the Electric Field for later use. We transform the energy in the Electric field to energy of motion.





Electric Potential Energy (U = EPE)
     
 

Work required to move a charge in an Electric Field
For the axon (nerve cell) to propagate an electrical signal, it must store energy. That stored energy is in the form of an Electric Field. The cell membrane is a capacitor. The Electric Field is created from the concentration of ions inside and outside the cell membrane. Now, all the cell has to do is allow the concentrations to change. This requires work.


 
Potential (Volts)

notice that Potential is not Potential Energy!
 
      W is Electric Potential Energy (Joules)
is not
V is Electric Potential (Joules/Coulomb)
a.k.a Voltage, Potential Difference
       
   
   
    Equipotential Surfaces



No work is required for a charge to move along an equipotential surface.
Work is required for a charge to move to a different equipotential surface.

   
                         
             

         
                         
   
Summary of Equations



     
                         
Capacitors
   
Capacitors I, II, III

The Electric Field
The Electric Force






               
  Problem Solving

Conservation of Energy
 
                     
    The Mechanical Universe      
         
                     
   
Physics 196
     
                     
   
The Action Potential