Physics · 2019
JEE Main · 12 April 2019, Shift 1 · Q16
Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The space between the plates of the…
Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The space between the plates of the two capacitors, is filled with three dielectrics, of equal thickness and dielectric constants $\displaystyle \mathrm{K}_1, \mathrm{~K}_2$ and $\displaystyle \mathrm{K}_3$. The first capacitor is filled as shown in fig. I, and the second one is filled as shown in fig II.
If these two modified capacitors are charged by the same potential V, the ratio of the energy stored in the two, would be ( $\displaystyle \mathrm{E}_1$ refers to capacitor (I) and $\displaystyle \mathrm{E}_2$ to capacitor (II)) :
Official answer
(1)
$\displaystyle \frac{E_1}{E_2}=\frac{9 K_1 K_2 K_3}{\left(K_1+K_2+K_3\right)\left(K_2 K_3+K_3 K_1+K_1 K_2\right)}$
More from Capacitors
- Two capacitors of capacities 2 C and C are joined in parallel and charged up to potential V. The battery is removed and the capacitor of capacity C…2021
- Space between the plates of a parallel plate capacitor of plate area 4 cm^2 and separation of 1.77 mm, is filled with uniform dielectric materials…2025
- Two parallel plate capacitors C_1 and C_2 each having capacitance of 10 μ F are individually charged by a 100 V D.C. source. Capacitor C_1 is kept…2023
- Calculate the amount of charge on capacitor of 4 μ F. The internal resistance of battery is 1 Ω:2021
- A parallel plate capacitor of capacitance 200 μ F is connected to a battery of 200 V. A dielectric slab of dielectric constant 2 is now inserted into…2021
- A capacitor P with capacitance 10 × 10^-6 F is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged…2026
- The charge on capacitor of capacitance 15 μ F in the figure given below is:2022
- Three capacitors of capacitances 25 μ F, 30 μ F and 45 μ F are connected in parallel to a supply of 100 V. Energy stored in the above combination is…2024
JEE Main 2019 Physics question, with the answer from NTA’s final answer key. Where our answers come from.