JEE Main 2022 · 30 Jun · Shift 1 · Physics Q40

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PhysicsSingle correct+4 / -1Question 40 of 90

$C_o$ 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 :

Fig. 1: two parallel plates with air between. Fig. 2: the same plates with the right half of the gap (side by side, spanning the full separation) filled with dielectric.

\dfrac{C_o}2\left(1+\varepsilon_r\right)

C_o+\varepsilon_r

\dfrac{C_o\varepsilon_r}2

C_o\left(1+\varepsilon_r\right)

Answer and worked solution

Official answer: A

Side by side halves are in parallel: $\frac{C_o}2+\frac{\varepsilon_rC_o}2$ .

(A)

Topics:Dielectrics Series and parallel combinations

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JEE Main 2022 · 30 Jun · Shift 1, Physics question 40