Two identical capacitors $1$ and $2$ are connected in series to a battery as shown in figure. Capacitor $2$ contains a dielectric slab of dielectric constant k as shown. $Q_1$ and $Q_2$ are the charges stored in the capacitors. Now the dielectric slab is removed and the corresponding charges are $Q’_1$ and $Q’_2$. Then 

115-780

  • A

    $\frac{{{{Q'}_1}}}{{{Q_1}}} = \frac{{k + 1}}{k}$

  • B

    $\frac{{{{Q'}_2}}}{{{Q_2}}} = \frac{{k + 1}}{2}$

  • C

    $\frac{{{{Q'}_2}}}{{{Q_2}}} = \frac{{k + 1}}{{2k}}$

  • D

    $\frac{{{{Q'}_1}}}{{{Q_1}}} = \frac{k}{2}$

Similar Questions

The capacitance of an air capacitor is $15\,\mu F$ the separation between the parallel plates is $6\,mm$. A copper plate of $3\,mm$ thickness is introduced symmetrically between the plates. The capacitance now becomes.........$\mu F$

A dielectric slab of thickness $d$ is inserted in a parallel plate capacitor whose negative plate is at $x = 0$ and positive plate is at $x = 3d$. The slab is equidistant from the plates. The capacitor is given some charge. As one goes from $0$ to $3d$

  • [IIT 1998]

When a slab of dielectric material is introduced between the parallel plates of a capacitor which remains connected to a battery, then charge on plates relative to earlier charge

A parallel plate capacitor is connected to a battery and a dielectric slab is inserted between the plates, then which quantity increase

The distance between plates of a parallel plate capacitor is $5d$. Let the positively charged plate is at $ x=0$ and negatively charged plate is at $x=5d$. Two slabs one of conductor and other of a dielectric of equal thickness $d$ are inserted between the plates as shown in figure. Potential versus distance graph will look like :