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Seven capacitors, each of the capacitance $2\,\mu F$, are to be connected in a configuration to obtain an effective capacitance of $\left( {\frac{6}{{13}}} \right)\,\mu F$. Which of the combinations, shown in figures below, will achieve the desired value ?
Uniform electric field of magnitude $100$ $V/m$ in space is directed along the line $y = 3 + x$. Find the potential difference between point $A$ $ (3, 1)$ $\&$ $B$ $(1, 3)$.......$V$
Three charges $Q,\, + q$ and $ + q$ are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if $Q$ is equal to
Four metallic plates each with a surface area of one side $A$ are placed at a distance $d$ from each other. The plates are connected as shown in the circuit diagram. Then the capacitance of the system between $a$ and $b$ is
A point charge of magnitude $+ 1\,\mu C$ is fixed at $(0, 0, 0) $. An isolated uncharged spherical conductor, is fixed with its center at $(4, 0, 0).$ The potential and the induced electric field at the centre of the sphere is
If the dielectric constant and dielectric strength be denoted by $k$ and $x$ respectively, then a material suitable for use as a dielectric in a capacitor must have
An electric dipole moment $\vec p = (2.0\hat i + 3.0\hat j)$ $\mu C. $ $m$ is placed in a uniform electric field $\vec E = (3.0\hat i + 2.0\hat k)$ $×$$10^5$ $N$ $C^{-1}$.
A condenser having a capacity $2.0$ micro farad is charged to $200\;volts$ and then the plates of the capacitor are connected to a resistance wire. The heat produced in joules will be
A capacitor $C _{1}$ of capacitance $5\,\mu F$ is charged to a potential of $30\,V$ using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor $C _{2}$ of capacitance $10\,\mu F$ as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor $C _{2}$ is________ $\mu C$