Question

Electric field inside the given capacitor with dielectric is $E$ and dielectric constant of material is $K$. Find charge density $\sigma$ on the plates. (Given $E=6\times 10^{5}V/m,K=6$)

• A. 18.3 × 10^-6 C/m²
• B. 8.1 × 10^-7 C/m²
• C. 3.18 × 10^-5 C/m²
• D. 3.18 × 10^-10 C/m²

Answer 1

Answer: (C)

$E=\frac{\sigma }{{\epsilon }_0.K};6\times 10^5=\frac{\sigma }{8.85\times 10^{-12}\times 6}$
$\sigma =36\times 8.85\times 10^{-12}\times 10^{5}C/m^2$
$\sigma =3.18\times 10^{-5}C/m^2$