A capacitor of capacity ${C_1}$ is charged upto $V$ volt and then connected to an uncharged capacitor of capacity ${C_2}$. Then final potential difference across each will be
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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:
In the adjoining figure, capacitor $(1)$ and $(2)$ have a capacitance $‘C’$ each. When the dielectric of dielectric consatnt $K$ is inserted between the plates of one of the capacitor, the total charge flowing through battery is
A short electric dipole has a dipole moment of $16 \times 10^{-9}\, Cm .$ The electric potential due to the dipole at a point at a distance of $0.6\, m$ from the centre of the dipole, situated on a line making an angle of $60^{\circ}$ with the dipole axis is $.........V$
$\left(\frac{1}{4 \pi \in_{0}}=9 \times 10^{9} Nm ^{2} / C ^{2}\right)$
Two capacitors $A$ and $B$ are connected in series with a battery as shown in the figure. When the switch $S$ is closed and the two capacitors get charged fully, then
Three different dielectrics are filled in a parallel plate capacitor as shown. What should be the dielectric constant of a material, which when fully filled between the plates produces same capacitance?
A spherical metal shell $A$ of radius $R_A$ and a solid metal sphere $B$ of radius $R_B\left( < R_A\right)$ are kept far apart and each is given charge ' $+Q$ '. Now they are connected by a thin metal wire. Then
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.
Five conducting parallel plates having area $A$ and separation between them $d$, are placed as shown in the figure. Plate number $2$ and $4$ are connected wire and between point $A$ and $B$, a cell of emf $E$ is connected. The charge flown through the cell is