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MHT CET 2023 (9 May, Shift 1) · Dielectrics

Dielectrics question from MHT CET 2023 (9 May, Shift 1)

Q59MHT CET 2023 · 9 MAY · SHIFT 1Medium

Dielectrics

The capacitance of a parallel plate capacitor is $2.5\ \mu\text{F}$ . When it is half filled with a dielectric as shown in figure, its capacitance becomes $5\ \mu\text{F}$ . The dielectric constant of the dielectric is

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Answer: (b)

Dielectric fills full gap over half the area: parallel, $C=\frac{C_0}{2}(1+K)$ .
$5=\frac{2.5}{2}(1+K) \Rightarrow 1+K=4$
So the answer is (b) $K=3$ .

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