AP® Physics C: Electricity and Magnetism · Unit 8 · Topic 8.2

Conservation of Charge and Charging by Friction

Charging by friction never creates charge, it only moves electrons from one surface to another, so the two objects end up with equal and opposite charge while the total charge of the system stays exactly the same.

Charge conservation says the total charge in an isolated system never changes. You can move it around, pile it up on one object and strip it from another, but you cannot make it or destroy it. Rubbing two different materials together is the classic way to see this. Some materials hold their outermost electrons more loosely than others. When you shuffle socks on carpet or rub a glass rod with silk, surface contact lets electrons hop from the material that holds them weakly onto the material that holds them more tightly.

At the microscopic level nothing exotic happens: no protons move, nuclei stay put, only electrons migrate. Whichever object gives up electrons is left with a shortage of negative charge, so it reads positive. Whichever object receives those electrons now has extra negative charge, so it reads negative. The two magnitudes match exactly, because every electron that leaves one surface lands on the other. That is conservation of charge in action, not an abstract law but a direct bookkeeping statement: charge lost by one object equals charge gained by the other.

This idea sets up everything else in the unit. Once charge sits on an object, it creates a field around it, and Gauss's law later lets you relate the total charge enclosed by a surface to that field. Conservation of charge is also why induction and polarization work the way they do, and why net charge on an isolated system is always a fixed, countable multiple of e. If you rub two identical materials together, there is no asymmetry in how tightly each holds electrons, so no consistent transfer direction exists and both stay essentially neutral.

Key terms

Conservation of charge
The total electric charge of an isolated system stays constant; charge is only transferred, never created or destroyed.
Elementary charge (e)
The magnitude of charge on a single electron or proton, equal to 1.602 x 10−19 C.
Charging by friction
Transfer of electrons between two surfaces in contact due to rubbing, leaving one object positive and the other equally negative.
Net charge
The overall charge of an object after accounting for any excess or deficit of electrons relative to protons.

Watch it explained

  1. How it worksWalk me through where the electrons actually go when two surfaces are rubbed together.
  2. Worked exampleFind the charge left on a silk cloth after 5 times 1012 electrons transfer onto it.
  3. Common mistakeWhy doesn't the positive charge left on a glass rod mean protons jumped over to the silk?
  4. Going furtherWhat happens to the charge on each object when you rub two identical materials together?

Check yourself

Your turn1 of 2
After rubbing, 7 times 1012 electrons transfer onto a silk cloth. Find the magnitude of the net charge on the cloth, in nC. Use e = 1.602x10−19 C.

End of topic.