A parallel plate capacitor of area $A$, plate separation $d$ and capacitance $C$ is filled with three different dielectric materials having dielectric constants ${k_1},{k_2}$ and ${k_3}$ as shown. If a single dielectric material is to be used to have the same capacitance $C$ in this capacitor, then its dielectric constant $k$ is given by
A parallel plate capacitor of area $A$, plate separation $d$ and capacitance $C$ is filled with three different dielectric materials having dielectric constants ${k_1},{k_2}$ and ${k_3}$ as shown. If a single dielectric material is to be used to have the same capacitance $C$ in this capacitor, then its dielectric constant $k$ is given by
- [IIT 2000]
- A
$\frac{1}{k} = \frac{1}{{{k_1}}} + \frac{1}{{{k_2}}} + \frac{1}{{2{k_3}}}$
- B
$\frac{1}{k} = \frac{1}{{{k_1} + {k_2}}} + \frac{1}{{2{k_3}}}$
- C
$k = \frac{{{k_1}{k_2}}}{{{k_1} + {k_2}}} + 2{k_3}$
- D
$k = {k_1} + {k_2} + 2{k_3}$
Similar Questions
A parallel plate capacitor having capacitance $12\, pF$ is charged by a battery to a potential difference of $10\, V$ between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant $6.5$ is slipped between the plates. The work done by the capacitor on the slab is.......$pJ$
A parallel plate capacitor having capacitance $12\, pF$ is charged by a battery to a potential difference of $10\, V$ between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant $6.5$ is slipped between the plates. The work done by the capacitor on the slab is.......$pJ$
- [JEE MAIN 2019]
What is dielectric ?
What is dielectric ?
What are called polar molecules and non-polar molecules ? Both are Give examples.
What are called polar molecules and non-polar molecules ? Both are Give examples.
There is an air filled $1\,pF$ parallel plate capacitor. When the plate separation is doubled and the space is filled with wax, the capacitance increases to $2\,pF$. The dielectric constant of wax is
There is an air filled $1\,pF$ parallel plate capacitor. When the plate separation is doubled and the space is filled with wax, the capacitance increases to $2\,pF$. The dielectric constant of wax is
Putting a dielectric substance between two plates of condenser, capacity, potential and potential energy respectively
Putting a dielectric substance between two plates of condenser, capacity, potential and potential energy respectively