Question

a material of dielectric constant k is introduced in the space of the charged plate of parallel plate capacitor. if free charge density is what would be induced charge density?

Answer 1

$$\begin{gathered} Sincethechargedensityinthefreespaceis; \\ \sigma =\frac{q}{{\epsilon }_0} \\ andwhenaplateofdielectricconstantkisintroducedin \\ betweentheparallelplatesthentheinducedchargedensity{\sigma }_p \\ isgivenby; \\ {\sigma }_p=\frac{q_i}{k{\epsilon }_0}. \end{gathered}$$