Three parallel plates, each of area A, form a capacitor. The sepa… - Vidyadip

MCQ

Three parallel plates, each of area A, form a capacitor. The separation between the first and second plates is $d 1$ and that between the second and third is $d_2$. The gaps are completely filled with dielectrics of dielectric constant $k_1$ and $k_2$, respectively. The capacitance of this capacitor is

A
$\frac{\varepsilon_0 A k_1 k_2}{d_1+d_2}$
B
$\frac{\varepsilon_0 A\left(k_1+k_2\right)}{d_1 d_2}$
C
$\frac{\varepsilon_0 A k_1 k_2}{k_1 d_1+k_2 d_2}$
✓
$\frac{\varepsilon_0 A k_1 k_2}{k_2 d_1+k_1 d_2}$

✓

Answer

Correct option: D.

$\frac{\varepsilon_0 A k_1 k_2}{k_2 d_1+k_1 d_2}$

$\frac{\varepsilon_0 A k_1 k_2}{k_2 d_1+k_1 d_2}$

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