Condenser Ahas a capacity of $15\ \mu F$ when it is filled with a medium of dielectric constant $15$. Another condenser $B$ has a capacity $1\ \mu F$ with air between the plates. Both are charged separately by a battery of $100\,V$ . After charging, both are connected in parallel without the battery and the dielectric material being removed. The common potential now is.......$V$
$400$
$800$
$1200$
$1600$
In an oscillating $LC$ circuit the maximum charge on the capacitor is $Q$. The charge on the capacitor when the energy is stored equally between the electric and magnetic fields is
A capacitor of capacitance $1$ $\mu F$ with stands the maximum voltages $6$ $KV$ while a capacitor of capacitance $2.0$ $\mu F$ with stands the maximum voltage $=$ $4\,KV$. if the two capacitors are connected in series, then the two capacitors combined can take up a maximum voltage of......$KV$
A hollow metal sphere of radius $5\,cm$ is charged such that the potential on its surface is $10\,V$. The potential at a distance of $2\,cm$ from the centre of the sphere.......$V$
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
The plates of a parallel plate capacitor are charged up to $100\, volt$ . A $2\, mm$ thick plate is inserted between the plates, then to maintain the same potential difference, the distance between the capacitor plates is increased by $1.6\, mm$ . The dielectric constant of the plate is