Two parallel plate capacitors of capacity $C$ and $3\,C$ are connected in parallel combination and charged to a potential difference $18\,V$. The battery is then disconnected and the space between the plates of the capacitor of capacity $C$ is completely filled with a material of dielectric constant $9$. The final potential difference across the combination of capacitors will be $V$
A$5$
B$4$
C$6$
D$1$
JEE MAIN 2022, Diffcult
Download our app for free and get started
C$6$
c Initial charge on $C =18\,CV$
initial charge on $3 C =54\,CV$
Let final common potential difference $= V ^{\prime}$
$9\,CV ^{\prime}+3\,CV ^{\prime}=18\,CV +54\,CV$
$12\,CV ^{\prime}=72\,CV \Rightarrow V ^{\prime}=6 V$
Download our app
and 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.*
In a certain charge distribution, all points having zero potential can be joined by a circle $S$. Points inside $S$ have positive potential and points outside $S$ have negative potential. A positive charge, which is free to move, is placed inside $S$
The electrostatic potential inside a charged spherical ball is given by $\phi= a{r^2} + b$ where $r$ is the distance from the centre and $a, b$ are constants. Then the charge density inside the ball is:
Three uncharged capacitors of capacitance $C_1$, $C_2$ and $C_3$ are connected as shown in figure to one another and to points $A$, $B$ and $D$ at potentials $V_A$, $V_B$ and $V_D$. Then the potential at $O$ will be
Four charges of $1\ \mu C, 2\ \mu C, 3\ \mu C,$ and $- 6\ \mu C$ are placed one at each corner of the square of side $1\,m$. The square lies in the $x-y$ plane with its centre at the origin.
A point charge is surrounded symmetrically by six identical charges at distance $r$ as shown in the figure. How much work is done by the forces of electrostatic repulsion when the point charge $q$ at the centre is removed at infinity
Five capacitors together with their capacitances are shown in the adjoining figure. The potential difference between the points $A$ and $B$ is $60\, volt.$ The equivalent capacitance between the point $A$ and $B$ and charge on capacitor $5\,\mu F$ will be respectively :-
A parallel plate air capacitor has a capacitance $C$. When it is half filled with a dielectric of dielectric constant $5$, the percentage increase in the capacitance will be.....$\%$
Four condensers each of capacity $4\,\mu F$ are connected as shown in figure. ${V_P} - {V_Q} = 15\,volts$. The energy stored in the system is......$ergs$