Two metallic plates form a parallel plate capacitor. The distance between the plates is $'d'.$ A metal sheet of thickness $\frac{d}{2}$ and of area equal to area of each plate is introduced between the plates. What will be the ratio of the new capacitance to the original capacitance of the capacitor $?$
  • A$2: 1$
  • B$1: 2$
  • C$1: 4$
  • D$4: 1$
JEE MAIN 2022, 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
    Two insulated metallic spheres of $3\,\mu F$ and $5\,\mu F$ capacitances are charged to $300\, V$ and $500\, V$ respectively. The energy loss, when they are connected by a wire is
    View Solution
  • 2
    A thin spherical conducting shell of radius $R$ has a charge $q$ . Another charge $Q$ is placed at the centre of the shell. The electrostatic potential at a point $P$ at a distance $R/2$ from the centre of the shell is
    View Solution
  • 3
    A charge of $10\, e.s.u.$ is placed at a distance of $2\, cm$ from a charge of $40\, e.s.u.$ and $4\, cm$ from another charge of $20\, e.s.u.$ The potential energy of the charge $10\, e.s.u.$ is (in $ergs$)
    View Solution
  • 4
    Potential atapoint $A$ is $3 $ $ volt$ and atapoint $B$ is $7$ $volt$,an electron is moving towards $A$ from $B.$
    View Solution
  • 5
    In the circuit shown in the figure, there are two parallel plate capacitors each of capacitance $C$. The switch $S _1$ is pressed first to fully charge the capacitor $C_1$ and then released. The switch $S_2$ is then pressed to charge the capacitor $C _2$. After some time, $S _2$ is released and then $S _3$ is pressed. After some time.

    $(A)$ the charge on the upper plate of $C _1$ is $2 CV _0$

    $(B)$ the charge on the upper plate of $C _1$ is $CV _0$

    $(C)$ the charge on the upper plate of $C _2$ is $0$

    $(D)$ the charge on the upper plate of $C _2$ is $- CV _0$

    View Solution
  • 6
    Two point charges $100\,\mu \,C$ and $5\,\mu \,C$ are placed at points $A$ and $B$ respectively with $AB = 40\,cm$. The work done by external force in displacing the charge $5\,\mu \,C$ from $B$ to $C$, where $BC = 30\,cm$, angle $ABC = \frac{\pi }{2}$ and $\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {10^9}\,N{m^2}/{C^2}$.........$J$
    View Solution
  • 7
    The potential to which a conductor is raised, depends on
    View Solution
  • 8
    A parallel-plate capacitor consists of a fixed plate and a movable plate that is allowed to slide in the direction parallel to the plates. Let $x$ be the distance of overlap, as shown in the figure. The separation between the plates is fixed. Assume that the plates are electrically isolated, so that their charges $±Q$ are constant. Force on the movable plate is proportional to 
    View Solution
  • 9
    Which of the following correctly represents the variation of electric potential $(V)$ of a charged spherical conductor of radius $(R)$ with radial distance $(r)$ from the centre?
    View Solution
  • 10
    Two batteries and two condensers are connected as shown in the figure. The charge on $2\,\mu F$ capacitor is.....$\mu F$
    View Solution