The capacitance of a parallel plate capacitor with air as medium is $6\, \mu F$. With the introduction of a dielectric medium, the capacitance becomes $30\, \mu F$. The permittivity of the medium is..........$C ^{2} N ^{-1} m ^{-2}$
$\left(\varepsilon_{0}=8.85 \times 10^{-12} C ^{2} N ^{-1} m ^{-2}\right)$
NEET 2020, Easy
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Seven identical plates each of area $A$ and successive separation $d$ are arranged as shown in figures. The effective capacitance of the system between $P$ and $Q$ isView Solution
- 2After the switch shown in figure $A$ is closed, there is current $i$ through resistance $R$. Figure $B$ indicates current variation curves $a, b, c$ and $d$ for four sets of values of $R$ and capacitance $C$:View Solution
$(i)$ $R_0$ and $C_0$, $(ii)$ $2R_0$ and $C_0$,
$(iii)$ $R_0$ and $2C_0$, $(iv)$ $2R_0$ and $2C_0$.
Which set goes with which curve?
- 3A condenser of $2\,\mu F$ capacitance is charged steadily from $0$ to $5$ $Coulomb$. Which of the following graphs correctly represents the variation of potential difference across its plates with respect to the charge on the condenserView Solution
- 4The plates of a parallel plate capacitor are charged up to $100 \,volt$ . A $2 \,mm$ thick plate is inserted between the plates, then to maintain the same potential difference, the distance between the capacitor plates is increased by $1.6\, mm$. The dielectric constant of the plate is :-View Solution
- 5An empty thick conducting shell of inner radius $a$ and outer radius $b$ is shown in figure.If it is observed that the inner face of the shell carries a uniform charge density $-\sigma$ and the surface carries a uniform charge density $ '\sigma '$View Solution
If another point charge $q_B$ is also placed at a distance $c ( > b) $ the center of shell, then choose the correct statements
- 6An electric dipole when placed in a uniform electric field $E$ will have minimum potential energy, when the angle made by dipole moment with field $E$ isView Solution
- 7A capacitor $C = 100$ $ \mu F$ is connected to three resistor each of resistance $1$ $k\Omega$ and a battery of $emf$ $9\,V$. The switch $S$ has been closed for long time so as to charge the capacitor. When switch $S$ is opened, the capacitor discharges with time constant......$ms$View Solution
- 8View SolutionIn the figure a capacitor is filled with dielectrics. The resultant capacitance is
- 9In a region, electric field varies as $E = 2x^2 -4$ where $x$ is the distance in metre from origin along $x-$ axis. A positive charge of $1\,\mu C$ is released with minimum velocity from infinity for crossing the origin, thenView Solution
- 10A battery does $200 \,J$ of work in charging a capacitor. The energy stored in the capacitor is ......... $J$View Solution