A point charge $q$ is placed at a distance $\frac{a}{2}$ directly above the centre of a square of side $a$ . The electric flux through the square is
$\frac{q}{\in_0}$
$\frac{q}{\pi \,\in_0}$
$\frac{q}{4\, \in_0}$
$\frac{q}{6 \,\in_0}$
A network of four capacitors of capacity equal to $C_1 = C, C_2 = 2C, C_3 = 3C$ and $C_4=4C$ are conducted to a battery as shown in the figure. The ratio of the charges on $C_2$ and $C_4$ is
A parallel plate capacitor with air between the plates has a capacitance of $9\, pF$. The separation between its plates is $'d'$. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant $K_1=3$ and thickness $\frac{d}{3}$ while the other one has dielectric constant $K_2 = 6$ and thickness $\frac{2d}{3}$. Capacitance of the capacitor is now....$pF$
A parallel plate capacitor of capacitance $C$ is connected to a battery and is charged to a potential difference $V$ . Another capacitor of capacitance $2C$ is similarly charged to a potential difference $2V$ . The charging battery is now disconnected and the capacitors are connect in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is
If the distance between two equal point charge is doubled then what would happen to the force between them ?
The work done required to put the four charges together at the corners of a square of side $a$ , as shown in the figure is