A parallel plate capacitor of capacitance $12.5 \mathrm{pF}$ is charged by a battery connected between its plates to potential difference of $12.0 \mathrm{~V}$. The battery is now disconnected and a dielectric slab $\left(\in_{\mathrm{r}}=6\right)$ is inserted between the plates. The change in its potential energy after inserting the dielectric slab is_______.$\times 10^{-12} \mathrm{~J}$.
JEE MAIN 2024, Diffcult
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
- 1In the circuit shown, when the key $k $ is pressed at time $t = 0$, which of the following statements about current $I$ in the resistor $AB $ is trueView Solution
- 2An 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 the outer surface of the shell is earthed, then identify the correct statement(s)
- 3An electric dipole of moment $\vec p$ is lying along a uniform electric field $\vec E.$ The work done in rotating the dipole by $90^o $ isView Solution
- 4Five capacitors are connected to a $DC$ potential of $100\,V$ as shown in the adjoining figure. Find charge in $10\,μF$ capacitor.......$\mu C$View Solution
- 5A proton is accelerated through $50,000\, V$. Its energy will increase byView Solution
- 6For an infinite line of charge having charge density $\lambda $ lying along $x-$ axis, the work required in moving charge $q$ from $C$ to $A$ along arc $CA$ is :-View Solution
- 7Between the plates of a parallel plate condenser there is $1\,mm$ thick paper of dielectric constant $4$. It is charged at $100\;volt$. The electric field in $volt/metre$ between the plates of the capacitor isView Solution
- 8Plates $A$ and $B$ constitute an isolated, charge parallel-plate capacitor. The inner surfaces ($I$ and $IV$) of $A$ and $B$ have charges $+Q$ and $-Q$ respectively. Athird plate $C$ with charge $+$$Q$ is now introduced midway between $A$ and $B$. Which of the following statements is not correct?View Solution
- 9If an electron moves from rest from a point at which potential is $50\, volt$ to another point at which potential is $70\, volt$, then its kinetic energy in the final state will beView Solution
- 10Sixty four conducting drops each of radius $0.02 m$ and each carrying a charge of $5 \,\mu C$ are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be ............View Solution