A parallel plate capacitor has a uniform electric field $E$ in the space between the plates. If the distance between the plates is $d$ and area of each plate is $A$ , the energy stored in the capacitor is
$\frac{1}{2}{\varepsilon _0}{E^2}Ad$
${\varepsilon _0}{E}Ad$
$\frac{1}{2}{\varepsilon _0}{E^2}$
${E^2}Ad/{\varepsilon _0}$
Find capacitance across $AB$
A point charge $+Q$ is positioned at the centren of the base of a square pyramid as shown. The flux through one of the four identical upper faces of the pyramid is
A wheel having mass $m$ has charges $+q $ and $-q$ on diametrically opposite points. It remains in equilibrium on a rough inclined plane in the presence of uniform vertical electric field $E =$
A parallel plate capacitor is charged to a potential difference of $100\,V$ and disconnected from the source of $emf$. A slab of dielectric is then inserted between the plates. Which of the following three quantities change?
$(i)$ The potential difference $(ii)$ The capacitance $(iii)$ The charge on the plates
Two identical charged spherical drops each of capacitance $C$ merge to form a single drop. The resultant capacitance