Practice portal › Electric Charge and Properties › Electric Charge and Coulomb's Law

The force between two point charges q₁ and q₂ placed in vacuum r cm apart is F. The force between them when they are placed in a medium of dielectric constant k=5 at a separation of r/5 cm will be

Asked in JEE Main 31st Jan 2nd Shift 2024 · Coulomb's law and superposition

Answer: (3) 5F

Step-by-step solution

In vacuum F=1/(4πε₀)(q₁q₂)/(r²).

In a medium of dielectric constant k the force is reduced by k: F'=1/(4πε₀ k)(q₁q₂)/(r'²).

With r'=r/5, the factor 1/(r'²)=(25)/(r²).

F'=(25)/5F=5F.

Why the other options are wrong

More Electric Charge and Coulomb's Law questionsAll Electric Charge and Coulomb's Law questions →

Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.

Practise this with a timer