A parallel plate capacitor has capacitance C. If it is equally fi… - Vidyadip

MCQ

A parallel plate capacitor has capacitance $C$. If it is equally filled with parallel layers of materials of dielectric constants $K_1$ and $K_2$ its capacity becomes $C_1$. The ratio of $C_1$ to $C$ is

A
${K_1} + {K_2}$
B
$\frac{{{K_1}{K_2}}}{{{K_1} - {K_2}}}$
C
$\frac{{{K_1} + {K_2}}}{{{K_1}{K_2}}}$
✓
$\frac{{2{K_1}{K_2}}}{{{K_1} + {K_2}}}$

✓

Answer

Correct option: D.

$\frac{{2{K_1}{K_2}}}{{{K_1} + {K_2}}}$

d
(d)${C_A} = \frac{{{K_1}{\varepsilon _0}A}}{{d/2}},\,{C_B} = \frac{{{K_2}{\varepsilon _0}A}}{{d/2}}$
${C_{eq}} = \frac{{{C_1}}}{{{C_2}}} = \frac{{2{K_1}{K_2}}}{{{K_1} + {K_2}}}$
$ = \frac{{{C_A}{C_B}}}{{{C_A} + {C_B}}} = \left( {\frac{{2{K_1}{K_2}}}{{{K_1} + {K_2}}}} \right)\,\frac{{{\varepsilon _0}A}}{d}$ $\left( {\,\,c = \frac{{{\varepsilon _0}A}}{d}} \right)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 2. Electric potential and capacitance→2. Electric potential and capacitance — all question types→Physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

A current of $5$ $ampere$ is flowing in a wire of length $1.5$ $metres$. A force of $7.5\, N$ acts on it when it is placed in a uniform magnetic field of $2\, Tesla$. The angle between the magnetic field and the direction of the current is......$^o$

Three photons coming from excited atomic-hydrogen sample are picked up. Their energies are $12.1\ eV, 10.2\ eV$ and $1.9\ eV$. These photons must come from:

Four charges are placed on corners of a square as shown in figure having side of $5\,cm$. If $Q$ is one microcoulomb, then electric field intensity at centre will be

On connecting a battery to the two corners of a diagonal of a square conductor frame of side $a$ the magnitude of the magnetic field at the centre will be

The ground state energy of hydrogen atom is $-13.6\,\,eV$ , when its electron is in the first excited state, its excitation energy is......$ eV$

In the figure shown the power generated in $y$ is maximum when $y = 5\,\Omega$ . Then $R$ is .............. $\Omega$

The alloys constantan and manganin are used to make standard resistance due to they have

Among the following properties describing diamagnetism identify the property that is wrongly stated

In a sample of radioactive material, what fraction of the initial number of active nuclei will remain undisintegrated after half of a half-life of the sample

A helium nucleus makes a full rotation in a circle of radius $0.8$ metre in two seconds. The value of the magnetic field $B$ at the centre of the circle will be