Question Detail
Question
The dimensions of plates of a parallel plate capacitor are 8 cm by 8 cm, and a distance of 2 mm separates them. Calculate the capacitance if a glass of dielectric constant 5 fills the space between the plates.
Correct Answer
Option A is the correct answer.
Detailed Explanation
A = 0.08×0.08 = 0.0064 m², d = 0.002 m, ε₀ = 8.85×10⁻¹². C = κε₀A/d = 5 × 8.85e-12 × 0.0064 / 0.002 = 5 × 2.832e-14 / 0.002 = 1.416e-10 / 0.002 = 7.08e-11? Wait recalc: 8.85e-12×0.0064 = 5.664e-14, ×5 = 2.832e-13, /0.002 = 1.416e-10 F = 141.6 pF. Yes.
Hint
C = κ ε₀ A / d.