Question

An electric charge produces an electric intensity of $500N/C$ at a point in air. If the air is replaced by a medium of dielectric constant $2.5$, then the intensity of the electric field due to the same charge at the same point will be:

• A. $100N/C$
• B. $150N/C$
• C. $200N/C$
• D. $300N/C$

Answer 1

The correct option is B $150N/C$

Electric intensity $=500N/C$

$K=2.5$

Intensity of electric field due to the same charge at same point will be

$\varphi =\frac{q}{{ϵ}_0}$ (using Gauss law)

or, $\varphi =\frac{500}{2.5}=\frac{500}{25}\times 10=150N/C$