The distance between the plates of a charged parallel plate capacitor is $5\  cm$ and electric field inside the plates is $200\  Vcm^{-1}$. An uncharged metal bar of width $2\  cm$ is fully immersed into the capacitor. The length of the metal bar is same as that of plate of capacitor. The voltage across capacitor after the immersion of the bar is......$V$
Advanced
Download our app for free and get startedPlay store
When the uncharged metal bar of width of $2 \mathrm{cm}$ is immersed into the capacitor, the distance between the plates of capacitor reduces and becomes: $(5-2) c m=3 c m$

since, the electric field$:$ $E=\frac{V}{d},$ where $E=200 \mathrm{V} / \mathrm{cm}, d=3 \mathrm{cm}$

so potential$:$ $V=E \times d=200 \times 3=600 V$

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 metallic spheres of radii $1\,cm$ and $2\,cm$ are given charges ${10^{ - 2}}\,C$ and $5 \times {10^{ - 2}}\,C$ respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is
    View Solution
  • 2
    What will be the capacity of a parallel-plate capacitor when the half of parallel space between the plates is filled by a material of dielectric constant ${\varepsilon _r}$ ? Assume that the capacity of the capacitor in air is $C$
    View Solution
  • 3
    Two capacitors of equal capacity are first connected in parallel and then in series. The ratio of the total capacities in the two cases will be
    View Solution
  • 4
    A parallel plate capacitor has circular plates of $0.08\,m$ radius and $1.0 \times {10^{ - 3}}\,m$ separation. If a $P.D.$ of $100\;volt$ is applied, the charge will be
    View Solution
  • 5
    Assertion : In the absence of an external electric field, the dipole moment per unit volume of a polar dielectric is zero.

    Reason : The dipoles of a polar dielectric are randomly oriented.

    View Solution
  • 6
    The electric potential at a distance of $3 \,m$ on the axis of a short dipole of dipole moment $4 \times 10^{-12}$ coulomb-meter is ......... $mV$
    View Solution
  • 7
    Two identical capacitors, have the same capacitance $C$. One of them is charged to potential ${V_1}$ and the other to ${V_2}$. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is
    View Solution
  • 8
    A capacitor has capacitance $5 \mu F$ when it's parallel plates are separated by air medium of thickness $d$. A slab of material of dielectric constant $1.5$ having area equal to that of plates but thickness $\frac{ d }{2}$ is inserted between the plates. Capacitance of the capacitor in the presence of slab will be $..........\mu F$
    View Solution
  • 9
    A piece of cloud having area $25 \times {10^6}\,{m^2}$ and electric potential of ${10^5}$ $volts$. If the height of cloud is $0.75\,km$, then energy of electric field between earth and cloud will be.....$J$
    View Solution
  • 10
    In free space, a particle $A$ of charge $1\,\mu C$ is held fixed at a point $P.$ Another particle $B$ of the same charge and mass $4\,\mu g$ is kept at a distance of $1\,mm$ from $P$. If $B$ is released, then its velocity at a distance of $9\,mm$ from $P$ is [ Take $\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {10^9}\,N{m^2}{C^{ - 2}}$ ]
    View Solution