A capacitor is charged by using a battery which is then disconnected. A dielectric slab is then slip

Hindi

2. Electric Potential and Capacitance

easy

A capacitor is charged by using a battery which is then disconnected. A dielectric slab is then slipped between the plates, which results in

Reduction of charge on the plates and increase of potential difference across the plates

Increase in the potential difference across the plate, reduction in stored energy, but no change in the charge on the plates

Decrease in the potential difference across the plates, reduction in the stored energy, but no change in the charge on the plates

None of the above

Solution

(c) Battery in disconnected so $Q$ will be constant as $C \propto \,K$. So with introduction of dielectric slab capacitance will increase using $Q = CV$, $V$ will decrease and using $U = \frac{{{Q^2}}}{{2C}}$, energy will decrease.

Standard 12

Physics

The potential gradient at which the dielectric of a condenser just gets punctured is called

easy

A parallel plate capacitor of capacitance $200 \,\mu {F}$ is connected to a battery of $200 \, {V} .$ A dielectric slab of dielectric constant $2$ is now inserted into the space between plates of capacitor while the battery remain connected. The change in the electrostatic energy in the capacitor will be ……$ J.$

hard

(JEE MAIN-2021)

Assertion : A parallel plate capacitor is connected across battery through a key. A dielectric slab of dielectric constant $K$ is introduced between the plates. The energy which is stored becomes $K$ times.

Reason : The surface density of charge onthe plate remains constant or unchanged.

medium

(AIIMS-2008)

In a capacitor of capacitance $20\,\mu \,F$, the distance between the plates is $2\,mm$. If a dielectric slab of width $1\,mm$ and dielectric constant $2$ is inserted between the plates, then the new capacitance is……$\mu \,F$

medium

An air filled parallel plate capacitor has capacity $C$. If distance between plates is doubled and it is immersed in a liquid then capacity becomes twice. Dielectric constant of the liquid is

medium