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Gravitational Fields

Comparing gravitational and electric fields

  • 2 things to know
  • Papers 2 and 3

Overview

Recall questions on where the two field types agree and where they differ, comparing the force laws, definitions and potentials, and why gravity governs the universe though it is far weaker.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

How do the force laws for two point masses and two point charges compare, and what is the key difference between the fields?

Numbers

How do the definitions of gravitational and electric field strength compare, and how do their radial potential equations compare?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    In what ways are gravitational and electric fields similar?

    Model answer

    Both obey an inverse square law for the force between point sources, and in both cases field strength is defined as force per unit of the relevant property, with potential falling off as 1/r and taken as zero at infinity.

  2. 2

    What is the most important difference between gravitational and electric fields?

    Model answer

    Gravitational forces are always attractive because there is only one kind of mass, whereas electric forces can be attractive or repulsive because there are two kinds of charge.

  3. 3

    How do the equations for the force between two point masses and between two point charges compare?

    Model answer

    Gravitationally F = Gm₁m₂/r², and electrically F = Q₁Q₂/(4πε₀r²); both are inverse square laws with the product of the source quantities on top.

  4. 4

    How do the definitions of gravitational field strength and electric field strength compare?

    Model answer

    Gravitational field strength is force per unit mass, g = F/m, while electric field strength is force per unit positive charge, E = F/Q.

  5. 5

    How do the equations for gravitational potential and electric potential in a radial field compare?

    Model answer

    Gravitational potential is V = −Gm/r and is always negative, while electric potential is V = Q/(4πε₀r) and takes the sign of the charge.

  6. 6

    How do the sizes of the constants in the two force laws compare, and what does that tell you?

    Model answer

    G is 6.67 × 10⁻¹¹ N m² kg⁻² while 1/(4πε₀) is 8.99 × 10⁹ N m² C⁻², showing that gravitational forces are enormously weaker than electric ones for comparable quantities.

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