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Physics (university) · Part 07

Electric fields and potential

Charge, Coulomb's law, fields, Gauss's law, potential and capacitors.

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  1. Electric chargeA property of matter that comes in two kinds, positive and negative. Like charges repel and unlike charges attract. Charge is conserved and comes in units of e = 1.6e-19 C.
  2. Coulomb's lawThe force between two point charges is F = k q1 q2 / r squared, with k = 8.99e9 N m squared per C squared.
  3. Electric fieldThe force per unit of positive test charge at a point, E = F/q. For a point charge E = k q / r squared.
  4. Field linesLines that show the direction of the field. They start on positive charge, end on negative charge, and are closer where the field is stronger.
  5. Gauss's lawThe total electric flux through a closed surface equals the enclosed charge divided by epsilon zero.
  6. Conductors in equilibriumIn a conductor at rest the electric field inside is zero and extra charge sits on the surface.
  7. Electric potentialPotential energy per unit charge, V = U/q. For a point charge V = k q / r. The unit is the volt, one joule per coulomb.
  8. Potential differenceVoltage between two points. A charge q moved across a voltage V gains energy qV.
  9. Uniform field between platesBetween two parallel charged plates the field is steady and equals voltage divided by plate gap, E = V/d.
  10. CapacitanceThe charge stored per volt, C = Q/V, in farads. A capacitor stores energy U = 1/2 C V squared.