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JEE Main 2023 (25 Jan, Shift 1) · Dielectrics

Dielectrics question from JEE Main 2023 (25 Jan, Shift 1)

Q54JEE Main 2023 · 25 JAN · SHIFT 1Easy

Dielectrics

A parallel plate capacitor has plate area 40 cm $2$ and plates separation 2 mm. The space between the plates is filled with a dielectric medium of a thickness 1 mm and dielectric constant 5. The capacitance of the system is:

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Answer: (d)

$C = \frac{\varepsilon_0 A}{d - t + \frac{t}{K}}$ , $A = 4 \times 10^{-3}\ \text{m}^2$ .
$d - t + \frac{t}{K} = 1 + 0.2 = 1.2$ mm.
$C = \frac{4}{1.2}\varepsilon_0 = \frac{10}{3}\varepsilon_0$ F.
So the answer is (d).

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