A parallel plate capacitor is filled with $3$ dielectric materials of same thickness, as shown in the sketch. The dielectric constants are such that $k_3 > k_2 > k_1$. Let the magnitudes of the electric field in and potential drops across each dielectric be $E_3$, $E_2$,$ E_1$, $\Delta V_3$, $\Delta V_2$ and $\Delta V_1$, respectively. Which one of the following statement is true ?
  • A$E_3 < E_2 < E_1 \  and\   \Delta  V_3 < \Delta V_2 <\Delta  V_1$
  • B$E_3 > E_2 > E_1 \  and \  \Delta  V_3 > \Delta V_2 >\Delta  V_1$
  • C$E_3 < E_2 < E_1 \  and\   \Delta  V_3 > \Delta V_2 >\Delta  V_1$
  • D$E_3 > E_2 > E_1\   and \  \Delta  V_3 < \Delta V_2 <\Delta  V_1$
Diffcult
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
    A parallel plate capacitor with plate area $'A'$ and distance of separation $'d'$ is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as :

    $\varepsilon(x)=\varepsilon_{0}+k x, \text { for }\left(0\,<\,x \leq \frac{d}{2}\right)$

    $\varepsilon(x)=\varepsilon_{0}+k(d-x)$, for $\left(\frac{d}{2} \leq x \leq d\right)$

    View Solution
  • 2
    A parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If $x$ is the separation between the plates, the time rate of change of electrostatic energy of capacitor is proportional to
    View Solution
  • 3
    A particle $A$ has charge $+q$ and particle $B$ has charge $+ 4q$ with each of them having the same mass $m$. When allowed to fall from rest through same electrical  potential difference, the ratio of their speed $V_A : V_B$ will be :-
    View Solution
  • 4
    Two concentric spheres $A$ and $B$ are kept very near to each other. $A$ is negatively charged and $B$ is earthed. The true statement is

    $(A)$ Charge on $B$ is zero

    $(B)$ Potential at $B$ is zero

    $(C)$ Charge is uniformly distributed on $A$

    $(D)$ Charge is non uniformly distributed on $A$

    View Solution
  • 5
    A condenser of capacity $50\,\mu F$ is charged to $10\;volts$. Its energy is equal to
    View Solution
  • 6
    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 
    View Solution
  • 7
    A solid sphere of radius $R$ carries a charge $(Q+q)$ distributed uniformly over its volume. A very small point like piece of it of mass $m$ gets detached from the bottom of the sphere and falls down vertically under gravity. This piece carries charge $q.$ If it acquires a speed $v$ when it has fallen through a vertical height $y$ (see figure), then :

    (assume the remaining portion to be spherical).

    View Solution
  • 8
    Consider an infinite matrix of capacitors as shown in the figure. The effective capacitance between point $A$ and $B$ will be
    View Solution
  • 9
    The equivalent capacitance of the combination shown in the figure is :
    View Solution
  • 10
    A hollow metal sphere of radius $5\,\, cm$ is charged so that the potential on its surface is $10\,\, V$. The potential at the centre of the sphere is.....$V$
    View Solution