Electric Fields and Charging Methods

Electric Field Basics

  • A charged object exerts an electric force on surrounding charged objects, analogous to how mass exerts gravitational force.
  • An electric field measures the force felt per unit of charge experiencing the field.
  • A uniform electric field has a constant electric field strength throughout.
  • The electric field created by a point charge has a strength that varies with distance from the charge.

Electric Field Equations

  • Electric Field strength (E) is measured in Newtons per Coulomb (N/C).
  • Electric field strength (E) is the ratio of the force experienced (F) by a test charge to the quantity of charge on the test charge (q).
    • E = \frac{F}{q}
  • The electric field strength created by a source charge (Q) varies with location.
  • Combining Coulomb's Law with the equation above yields a second equation for electric field (E) using source charge (Q) and distance (d).
    • E = k \frac{Q}{d^2}

Charging

Charging by Friction (Triboelectric Charging)

  • Occurs when two objects are rubbed together, causing a transfer of electrons.
  • Electrons are more easily stripped from or added to atoms on the outside.
  • The triboelectric series determines which material gains electrons (becomes negatively charged) and which loses electrons (becomes positively charged).
  • Materials listed in a triboelectric series:
    • Loses electrons: Rabbit fur, Hair, Glass, Mica, Wool
    • Gains electrons: Silk, Paper, Wood, Amber, Rubber balloon, Polystyrene, Acrylic, Polyethylene, Teflon (PTFE)

Charging by Contact

  • Requires a charged object to start.
  • When a charged object touches a neutral object, it shares its charge.
  • A negatively charged object touching a neutral object results in two negatively charged objects.
  • A positively charged object touching a neutral object results in two positively charged objects.

Charging a Neutral Object by Conduction

  • Diagram i: A metal sphere with excess negative charge approaches a neutral electroscope.
  • Diagram ii: Upon contact, electrons move from the sphere to the electroscope and spread uniformly.
  • Diagram iii: The metal sphere has less excess negative charge and the electroscope now has a negative charge.
  • Diagram i: A neutral metal sphere rests on an insulating platform.
  • Diagram ii: A positively charged aluminum plate touches the metal sphere, drawing electrons off the sphere and onto the aluminum plate.
  • Diagram iii: The aluminum plate has less excess positive charge, and the metal sphere now has an excess positive charge.

Grounding

  • Occurs when a charged object is connected to the earth, returning the object to neutral.
  • A positively charged object pulls electrons from the Earth to become neutral.
  • A negatively charged object pushes its excess electrons to the Earth to become neutral.

Positively Charged Object vs. Negatively Charged Object

  • Electrons flow from the Earth to neutralize a positively charged object.
  • Electrons flow to the Earth to neutralize a negatively charged object.

Polarization of Charge

  • Occurs when charges within a neutral object are forced to separate or move to opposite sides.
  • Requires another charged object to assist in separating the charges.

Diagram Example

  • A positively charged glass rod near a neutral conducting sphere causes charge distribution.

Charging by Induction

  • Requires a charged object and a ground.
  • The charged and neutral objects do not touch; the charged object gets close enough to create polarization in the neutral object.
  • To create a positive charge via induction, use a negatively charged object.
  • To create a negative charge via induction, use a positively charged object.

Charging by Induction Process

  • Diagram i: Two metal spheres are mounted on insulating stands.
  • Diagram ii: The presence of a negative charge induces electrons to move from sphere A to B, polarizing the system.
  • Diagram iii: Sphere B is separated from sphere A using the insulating stand, resulting in opposite charges on the two spheres.
  • Diagram iv: The excess charge distributes itself uniformly over the surface of the spheres.
  • Diagram i: Two metal spheres are mounted on insulating stands.
  • Diagram ii: The presence of a positive charge induces electrons to move from sphere B to A, polarizing the system.
  • Diagram iii: Sphere B is separated from sphere A using the insulating stand, resulting in opposite charges on the two spheres.
  • Diagram iv: The excess charge distributes itself uniformly over the surface of the spheres.