Two parallel plate capacitors of capacity C and 3,C are connected in parallel combination and charge

English

Gujarati

Hindi

2. Electric Potential and Capacitance

hard

Two parallel plate capacitors of capacity $C$ and $3\,C$ are connected in parallel combination and charged to a potential difference $18\,V$. The battery is then disconnected and the space between the plates of the capacitor of capacity $C$ is completely filled with a material of dielectric constant $9$. The final potential difference across the combination of capacitors will be $V$

A

$5$

B

$4$

C

$6$

D

$1$

(JEE MAIN-2022)

Solution

Initial charge on $C =18\,CV$

initial charge on $3 C =54\,CV$

Let final common potential difference $= V ^{\prime}$

$9\,CV ^{\prime}+3\,CV ^{\prime}=18\,CV +54\,CV$

$12\,CV ^{\prime}=72\,CV \Rightarrow V ^{\prime}=6 V$

Standard 12

Physics

Share

Similar Questions

A parallel plate capacitor of capacitance $5\,\mu F$ and plate separation $6\, cm$ is connected to a $1\, V$ battery and charged. A dielectric of dielectric constant $4$ and thickness $4\, cm$ is introduced between the plates of the capacitor. The additional charge that flows into the capacitor from the battery is……..$\mu C$

medium

A parallel plate condenser has a capacitance $50\,\mu F$ in air and $110\,\mu F$ when immersed in an oil. The dielectric constant $'k'$ of the oil is

easy

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

medium

(AIIMS-2010)

A parallel plate capacitor of plate area $A$ and plate separation $d$ is charged to potential $V$ and then the battery is disconnected. A slab of dielectric constant $k$ is then inserted between the plates of the capacitors so as to fill the space between the plates. If $Q,\;E$ and $W$ denote respectively, the magnitude of charge on each plate, the electric field between the plates (after the slab is inserted) and work done on the system in question in the process of inserting the slab, then state incorrect relation from the following

hard

(IIT-1991)

Write the formula of capacitance of capacitor having dielectric constant $\mathrm{K} = 2$.

easy