Two identical parallel plate capacitors are connected in series to a battery of $100\,V$. A dielectric slab of dielectric constant $4.0$ is inserted between the plates of second capacitor. The potential difference across the capacitors will now be respectively
  • A$50\, V$, $50\, V$
  • B$80 \,V$, $20\, V$
  • C$20\, V$, $80\, V$
  • D$75\, V$, $25\, V$
Medium
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
    Three long concentric conducting cylindrical shells have radii $R, 2R$ and $2\sqrt 2 $ $ R$ . Inner and outer shells are connected to each other. The capacitance across middle and inner shells per unit length is: 
    View Solution
  • 2
    The capacitor $'C'$ is initially uncharged.  Switch $S_1$ is closed for a long time while $S_2$ remains open. Now at $t = 0$ , $S_2$ is closed while $S_ 1$ is opened. All the batteries are ideal and connecting wires are resistanceless. Find $INCORRECT$ statement
    View Solution
  • 3
    Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason $R$.

    Assertion $A:$ Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.

    Reason $R:$ Capacitance of metallic spheres depend on the radii of spheres.

    In the light of the above statements, choose the correct answer from the options given below.

    View Solution
  • 4
    The plates of a parallel plate capacitor of capacity $50\,\mu C$ are charged to a potential of $100\;volts$ and then separated from each other so that the distance between them is doubled. How much is the energy spent in doing so
    View Solution
  • 5
    Four electric charges $+q,+q, -q$ and $-q$ are placed at the comers of a square of side $2L$ (see figure). The electric potential at point $A,$ midway between the two charges $+q$ and $+q,$ is
    View Solution
  • 6
    What is the equivalent capacitance between $A$ and $B$ in the given figure (all are in farad)
    View Solution
  • 7
    In a uniform electric field, a cube of side $1\ cm$ is placed. The total energy stored in the cube is $8.85\ \mu J.$ The electric field is parallel to four of the faces of the cube. The electric flux through any one of the remaining two faces is.
    View Solution
  • 8
    Shown in the figure is a semicircular metallic strip that has thickness $t$ and resistivity $\rho$. Its inner radius is $R_1$ and outer radius is $R_2$. If a voltage $V_0$ is applied between its two ends, a current $I$ flows in it. In addition, it is observed that a transverse voltage $\Delta V$ develops between its inner and outer surfaces due to purely kinetic effects of moving electrons (ignore any role of the magnetic field due to the current). Then (figure is schematic and not drawn to scale)-

    $(A)$ $I =\frac{V_0 t}{\pi \rho} \ln \left(\frac{R_2}{R_1}\right)$

    $(B)$ the outer surface is at a higher voltage than the inner surface

    $(C)$ the outer surface is at a lower voltage than the inner surface

    $(D)$ $\Delta V \propto I ^2$

    View Solution
  • 9
    If the charge on a capacitor is increased by $2C$, the energy stored in it increases by $44 \%$. The original charge on the capacitor is (in $C$ )
    View Solution
  • 10
    There are two equipotential surface as shown in figure. The distance between them is $r$. The charge of $-q\,$ coulomb is taken from the surface $A$ to $B$, the resultant work done will be
    View Solution