Effect of Medium (Dielectric) on Electrostatic Force

Physics · Electric Charges And Fields · NEET

When you place two charges inside a medium (like water, oil, or a dielectric) instead of vacuum, the electrostatic force between them becomes WEAKER. The force drops by a factor called the dielectric constant K (also written εr): F_medium = F_vacuum / K. Memory hook: "Medium eats the force" - a bigger K means the medium eats more force, so water (K = 80) makes the force 80 times smaller.
Same charges, same distance r — medium weakens the forceVacuum (K = 1)+q+qF0 (strong)Medium: water (K = 80)+q+qF = F0 / 80 (weak)F_medium = F_vacuum / K (K > 1 always, so force drops)
Two identical charges at the same separation r feel a much smaller repulsion inside a medium than in vacuum. The force shrinks by the dielectric constant K, so F_medium = F_vacuum / K. In water (K = 80) the force is 80 times weaker.

Your doubts, answered

Does the force increase or decrease when charges are put in a medium?

It DECREASES. In vacuum the force is F0 = (1/4πε0) q1q2/r². In a medium the permittivity becomes ε = K·ε0, and since K is always greater than 1, the denominator gets bigger, so the force gets smaller. F_medium = F0 / K. Air is a special case: K for air is almost 1 (about 1.0006), so the force in air is basically the same as in vacuum.

Why exactly does the medium reduce the force?

A dielectric medium has molecules that get polarised by the field of the charges. These polarised molecules create their own small field pointing opposite to the original field. NCERT calls this the 'opposing field' that 'only reduces' the external field. So the net field between the two charges, and therefore the force, is reduced. A bigger K means stronger polarisation and more reduction.

What is the difference between permittivity ε and dielectric constant K?

Permittivity ε is the actual property of the medium and has units (C²N⁻¹m⁻²). Dielectric constant K (also called relative permittivity εr) is just a ratio: K = ε/ε0. It has NO units. K tells you how many times bigger the medium's permittivity is compared to vacuum. So ε = K·ε0. Use K in the force formula, use ε when the question gives you the absolute value.

If the medium is vacuum or air, what value of K do I use?

For vacuum, K = 1 exactly, so F = F0 (no change). For air, K ≈ 1.0006, which is so close to 1 that in NEET problems air is treated as vacuum unless told otherwise. Only when the medium is water (K ≈ 80), glass, oil, or a numbered dielectric slab does K matter.

⚠️ The NEET trap
Force in medium = K × force in vacuum, so putting charges in water makes the force 80 times STRONGER.
Force in medium = force in vacuum ÷ K. Since K > 1, the force gets WEAKER. In water (K = 80) the force becomes 80 times smaller, not larger. K sits in the DENOMINATOR: F = (1/4πKε0) q1q2/r².
🧠 K multiplies or divides? NTA loves flipping this.

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Frequently asked

What is the formula for Coulomb force in a medium?

F = (1/4πε) q1q2/r² where ε = Kε0. This equals F0/K, where F0 is the vacuum force and K is the dielectric constant of the medium.

Is dielectric constant always greater than 1?

Yes. NCERT states K is always greater than 1 for any real medium. Only vacuum has K exactly equal to 1. This is why any medium reduces the force.

What is the dielectric constant of water?

About 80. So two charges in water feel a force 80 times weaker than the same charges the same distance apart in vacuum. This is why salts (ionic compounds) dissolve easily in water - the pull between opposite ions drops sharply.

Does distance r change when I add a medium?

No. The separation r stays the same. Only the permittivity in the formula changes from ε0 to Kε0. If both distance and medium change, apply both effects: multiply the r² change and divide by K.

How does this connect to capacitors?

Same idea. A dielectric between capacitor plates reduces the field, which is why capacitance increases by factor K: C = K·C0. The force page and the capacitor page both use the same dielectric constant K.