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$A$ and $C$ are concentric conducting spherical shells of radius $a$ and $c$ respectively. $A$ is surrounded by a concentric dielectric of inner radius $a$, outer radius $b$ and dielectric constant $k$. If sphere $A$ is given a charge $Q$, the potential at the outer surface of the dielectric is.
Two capacitors of capacitances $3\,\mu \,F$ and $6\,\mu F$ are charged to a potential of $12 \,V$ each. They are now connected to each other, with the positive plate of each joined to the negative plate of the other. The potential difference across each will be......$volt$
In the given circuit, charge $Q_2$ on the $2\ μF$ capacitor changes as $C$ is varied from $1\ μF$ to $3\ μF$. $Q_2$ as a function of '$C$' is given properly by: (figures are drawn schematically and are not to scale)
Two conducting spheres of radii $5\, cm$ and $10\, cm$ are given a charge of $15\,\mu C$ each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is.......$\mu C$
The capacitance of a parallel plate capacitor is $C$ when the region between the plate has air. This region is now filled with a dielectric slab of dielectric constant $k$. The capacitor is connected to a cell of $emf$ $E$, and the slab is taken out
A capacitor is made of a tlat plate of area $A$ and a second plate having a stair-like structure as shown in figure. If the area of each stair is $\frac{A}{3}$ and the height is $\mathrm{d}$, the capacitance of the arrangement is: