Physics · 2014
JEE Main · 12 April 2014, Shift 1 · Q17
The space between the plates of a parallel plate capacitor is filled with a 'dielectric' whose 'dielectric constant' varies with distance as per the…
The space between the plates of a parallel plate capacitor is filled with a 'dielectric' whose 'dielectric constant' varies with distance as per the relation :
$$\left.\mathrm{K}(x)=\mathrm{K}_{\mathrm{o}}+\lambda x \text { ( } \lambda=\text { a constant }\right)
$$
The capacitance C, of this capacitor, would be related to its 'vacuum' capacitance $\displaystyle \mathrm{C}_{\mathrm{o}}$ as per the relation :
Official answer
(3)
$\displaystyle \mathrm{C}=\frac{\lambda \mathrm{d}}{\ln \left(1+\lambda \mathrm{d} / \mathrm{K}_{\mathrm{o}}\right)} \mathrm{C}_{\mathrm{o}}$
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 parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants K_1, K_2, K_3, K_4 arranged as shown in the…2019
- 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
JEE Main 2014 Physics question, with the answer from NTA’s final answer key. Where our answers come from.