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CGP EDU Academic Team
Published on: September 12, 2026
A parallel plate capacitor has capacitance C. If it is equally filled with parallel layers of materials of dielectric constants K 1 and K 2 its capacity becomes C 1 . The ratio of C 1 to C is
Text Solution
Verified by ExpertsThe correct answer is:
D
$C_A = \frac{K_1 \varepsilon_0 A}{d/2}, \quad C_B = \frac{K_2 \varepsilon_0 A}{d/2}$
∴ ∴ $c_{eq} = \frac{C_1}{C_2} = \frac{2K_1 K_2}{K_1 + K_2}$
$= \frac{C_A C_B}{C_A + C_B} = \left(\frac{2 K_1 K_2}{K_1 + K_2}\right) \frac{\varepsilon_0 A}{d}$
$\left( \boxed{\times} C = \frac{\varepsilon_0 A}{d} \right)$
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