Three isolated equal charges are placed at the three comers of an equilateral triangle as shown in figure. The statement which is true for net electric potential $V$ and net electric field intensity $E$ at the centre of the triangle is
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In a medium of dielectric constant $K$, the electric field is $\vec E$ . If ${ \varepsilon _0}$ is permittivity of the free space, the electric displacement vector is
Consider the shown system of two concentric thin metal shells. The inner hell has charge $Q$, while the outer shell is neutral. Potential difference between the shells is $V$. If the shell are joined by metal wire, then potential of the inner shell is
The capacity of a parallel plate condenser is $5\,\mu F$. When a glass plate is placed between the plates of the conductor, its potential becomes $1/8^{th}$ of the original value. The value of dielectric constant will be
A $2\, \mu F$ capacitor $C _{1}$ is first charged to a potential difference of $10\, V$ using a battery.Then the battery is removed and the capacitor is connected to an uncharged capacitor $C _{2}$ of $8\, \mu F$. The charge in $C _{2}$ on equilibrium condition is $\ldots\,\mu C$. (Round off to the Nearest Integer)
A condenser of capacity ${C_1}$ is charged to a potential ${V_0}$. The electrostatic energy stored in it is ${U_0}$. It is connected to another uncharged condenser of capacity ${C_2}$ in parallel. The energy dissipated in the process is
There are two equipotential surface as shown in figure. The distance between them is $r$. The charge of $-q\,$ coulomb is taken from the surface $A$ to $B$, the resultant work done will be
$125$ identical drops each charged to the same potential of $50\;volts$ are combined to form a single drop. The potential of the new drop will be......$V$
A capacitor of $10\,\mu F$ charged up to $250\, volts$ is connected in parallel with another capacitor of $5\,\mu F$ charged up to $100\, volts$. The common potential is.....$V$