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Force Fields

Fields are a convenient mathematical idea for representing how forces and potential energies change in a region of space around an object. Forces arise from the interactions between objects.

Gravitational force

Gravitational force

  • Gravitational force arises because of the interaction between two masses.
  • We map gravitational fields by considering the effect of that field on a point mass.
Electrostatic force

Electrostatic force

  • Electrostatic force arises because of the interaction between two charges.
  • We map electric fields by considering the effect of that field on a point positive charge.
Magnetic force

Magnetic force

  • Magnetic force arises, fundamentally, because of the interaction between charges that have relative motion between them.
  • When we map magnetic fields, we simplify matters by considering the effect on a small bar magnet, or magnetic dipole.

Comparing Gravitational and Electrostatic Forces

Gravitational and electrostatic forces have similarities and differences.

Similar ideas

Similar ideas

  • If we consider both as fields, we can apply similar ideas.
    • We use field lines to represent the direction of the force on a point particle.
    • We use the concept of equipotential lines and surfaces.
Similarities

Similarities

  • When considering point objects, both forces have inverse-square laws.
  • The field line patterns around point objects are radial - like spokes on a bicycle wheel.
    • The field lines get further apart as the distance increases from the point object. This indicates that the force on a test particle gets smaller.

Similarities 2

  • Equipotential lines/surfaces around point objects are concentric circles or spheres.
    • Those equipotential lines get further apart for equal changes in potential between lines.
  • You can add field strengths from two or more particles vectorially. This means you can determine field line patterns from complex arrangements of particles.
Differences

Differences

  • The force between masses is always attractive.
    • Field lines always point towards masses.
    • Potential-distance graphs for gravitation are always negative.
  • The force between charges can be either attractive or repulsive.
    • Field lines always point away from positive charges and towards negative charges.
    • Potential-distance graphs for a point charge can either be positive or negative.
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