electric charge constant

electric charge constant

ByAbdul Wahab Junaid

The electric charge constant, also known as the Coulomb constant or electric constant, is a fundamental physical constant that characterizes the strength of the electrostatic force between two point charges.

Coulomb’s Constant

  • Symbol: ( k_e ) or ( k )
  • Value: ( k_e \approx 8.99 \times 10^9 \, \text{N} \cdot \text{m}^2/\text{C}^2 )

Definition

Coulomb’s constant is used in Coulomb’s law, which describes the force between two point charges. The law is expressed as:

[F = k_e \frac{|q_1 q_2|}{r^2}]

where:

  • ( F ) is the magnitude of the electrostatic force between the charges.
  • ( q_1 ) and ( q_2 ) are the amounts of the two charges.
  • ( r ) is the distance between the centers of the two charges.
  • ( k_e ) is the Coulomb constant.

Relation to the Electric Constant

The Coulomb constant ( k_e ) is related to the electric constant (( \varepsilon_0 )), also known as the permittivity of free space. The relationship between them is:

[k_e = \frac{1}{4 \pi \varepsilon_0}]

where:

  • ( \varepsilon_0 \approx 8.854 \times 10^{-12} \, \text{F/m} ) (farads per meter) is the permittivity of free space.

Summary

The electric charge constant ( k_e ) is a crucial constant in electrostatics, defining the strength of the electrostatic force between point charges. It is used in Coulomb’s law to calculate the force between two charges and is related to the electric constant ( \varepsilon_0 ), which characterizes the permittivity of free space.

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