Report Issue

JEE MAIN 2021
16-03-2021 S2
Question
In a parallel plate capacitor set up, the plate area of capacitor is $2 \mathrm{~m}^2$ and the plates are separated by 1 m . If the space between the plates are filled with a dielectric material of thickness 0.5 m and area $2 \mathrm{~m}^2$ (see fig.) the capacitance of the set-up will be $\_\_\_\_$ $\varepsilon_0$. (Dielectric constant of the material $=3.2$ ) (Round off to the Nearest Integer)
Question Image
Write Your Answer
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$\begin{aligned} & C=\frac{\varepsilon_0 A}{\frac{d}{2 K}+\frac{d}{2}}=\frac{2 \varepsilon_0 A}{\frac{d}{K}+d} \\ & =\frac{2 \times 2 \varepsilon_0}{\frac{1}{3.2}+1}=\frac{4 \times 3.2}{4.2} \varepsilon_0 \\ & =3.04 \varepsilon_0\end{aligned}$
Question Tags
JEE Main
Physics
Easy
Start Preparing for JEE with Competishun