Two charges q1 and q2 are placed in vacuum at a distance d and force between themis F. If a medium of relative permittivity 4 is introduced between them then newforce will be:
Question
Two charges q1 and q2 are placed in vacuum at a distance d and force between themis F. If a medium of relative permittivity 4 is introduced between them then newforce will be:
Solution
The force between two charges in a vacuum is given by Coulomb's law:
F = k * q1 * q2 / d^2
where:
- F is the force between the charges,
- k is Coulomb's constant,
- q1 and q2 are the magnitudes of the charges, and
- d is the distance between the charges.
When a medium with a relative permittivity (also known as the dielectric constant) of εr is introduced between the charges, the force becomes:
F' = F / εr
So, if the relative permittivity of the medium is 4, the new force will be:
F' = F / 4
So, the new force is a quarter of the original force.
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