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JEE Main 2022 (30 Jun, Shift 1) · Dielectrics

Dielectrics question from JEE Main 2022 (30 Jun, Shift 1)

Q64JEE Main 2022 · 30 JUN · SHIFT 1Medium

Dielectrics

Co is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If half space between the plates is filled with a dielectric of relative permittivity $\varepsilon$ r (as shown in Fig. 2), the new capacitance of the capacitor will be:

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Answer: (a)

Dielectric fills full gap over half the area: two capacitors in parallel.
$C=\frac{C_o}{2}+\frac{\varepsilon_rC_o}{2}=\frac{C_o}{2}(1+\varepsilon_r)$
So the answer is (a).

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