Adielectric slab is inserted between the plates of an isolated charged capacitor. Which of the following quantities will remain the same?
Medium
Download our app for free and get startedPlay store
The charge on the capacitor

When we insert a dielectric between the plates of a capacitor, induced charges of opposite polarity appear on the face of the dielectric. They build an electric field inside the dielectric, directed

opposite to the original field of the capacitor.

Thus, the net effect is a reduced electric field.

Also, as the potential is proportional to the field, the potential decreases and so does the stored energy U, which is given by $U=\frac{q V}{2}$

Thus, only the charge on the capacitor remains unchanged, as the charge is conserved in an isolated system.

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    In the circuit, shown in fig. $‘K’$ is open. The charge on capacitor $C$ in steady state is $q_1$. Now key is closed and at steady state, the charge on $C$ is $q_2$. The ratio of charges $\left( {\frac{{{q_1}}}{{{q_2}}}} \right)$ is
    View Solution
  • 2
    A $40$ $\mu F$ capacitor in a defibrillator is charged to $3000\,V$. The energy stored in the capacitor is sent through the patient during a pulse of duration $2\,ms$. The power delivered to the patient is......$kW$
    View Solution
  • 3
    The electric potential $V$ at any point $O$ ($x$, $y$, $z$ all in metres) in space is given by $V = 4{x^2}\,volt$. The electric field at the point $(1m,\,0,\,2m)$ in $volt/metre$ is
    View Solution
  • 4
    A parallel plate capacitor of capacitance $C$ has spacing $d$ between two plates having area $A$. The region between the plates is filled with $N$ dielectric layers, parallel to its plates, each with thickness $\delta=\frac{ d }{ N }$. The dielectric constant of the $m ^{\text {th }}$ layer is $K _{ m }= K \left(1+\frac{ m }{ N }\right)$. For a very large $N \left(>10^3\right)$, the capacitance $C$ is $\alpha\left(\frac{ K \varepsilon_0 A }{ d \;ln 2}\right)$. The value of $\alpha$ will be. . . . . . . .

    [ $\in_0$ is the permittivity of free space]

    View Solution
  • 5
    A capacitor of capacitance $1$ $\mu F$ withstands the maximum voltage $6$ $kV$ while a capacitor of $2$ $\mu F$ withstands the maximum voltage $4$ $kV$. What maximum voltage will the system of these two capacitor withstands if they are connected in series?......$kV$
    View Solution
  • 6
    Two parallel plate capacitors $C_1$ and $C_2$ each having capacitance of $10 \mu F$ are individually charged by a $100\,V$ $D.C.$ source. Capacitor $C _1$ is kept connected to the source and a dielectric slab is inserted between it plates. Capacitor $C _2$ is disconnected from the source and then a dielectric slab is inserted in it. Afterwards the capacitor $C_1$ is also disconnected from the source and the two capacitors are finally connected in parallel combination. The common potential of the combination will be $.........V.$ (Assuming Dielectric constant $=10$ )
    View Solution
  • 7
    The area of the plates of a parallel plate condenser is $A$ and the distance between the plates is $10\,mm$. There are two dielectric sheets in it, one of dielectric constant $10$ and thickness $6\,mm$ and the other of dielectric constant $5$ and thickness $4\,mm$. The capacity of the condenser is
    View Solution
  • 8
    In the following circuit $C_1=12 \mu F, C_2=C_3=4 \mu F$ and $C_4=C_5=2 \mu F$. The Charge stored in $C_3$ is. . . . . $\mu C$.
    View Solution
  • 9
    The energy required to charge a capacitor of $5\,\mu \,F$ by connecting a $d.c$. source of $20\, kV$ is......$kJ$
    View Solution
  • 10
    A particle $A$ has charge $ + q$ and a particle $B$ has charge $ + \,4q$ with each of them having the same mass $m$. When allowed to fall from rest through the same electric potential difference, the ratio of their speed $\frac{{{v_A}}}{{{v_B}}}$ will become
    View Solution