A parallel plate capacitor is made of two circular plates separated by a distance $5\ mm$ and with a dielectric of dielectric constant $2.2$ between them. When the electric field in the dielectric is $3 \times 10^4$ $ Vm^{-1}$ the charge density of the positive plate will be close to
  • A$3  \times  10^{-7} $ $Cm^{-2}$
  • B$3  \times  10^4$ $ Cm^{-2}$
  • C$6  \times 10^4 $ $Cm^{-2}$
  • D$6  \times  10^{-7}$ $Cm^{-2}$
JEE MAIN 2014, 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
    The electric potential in volts due to an electric dipole of dipole moment $2 \times 10^{-8}$ coulomb-metre at a distance of $3 \,m$ on a line making an angle of $60^{\circ}$ with the axis of the dipole is ..........
    View Solution
  • 2
    The charge given to a hollow sphere of radius $10\, cm$ is $3.2×10^{-19}\, coulomb$. At a distance of $4\, cm$ from its centre, the electric potential will be
    View Solution
  • 3
    Figure given below shows two identical parallel plate capacitors connected to a battery with switch $S$ closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant $3$. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric
    View Solution
  • 4
    Two plates are $2\,cm$ apart, a potential difference of $10\;volt$ is applied between them, the electric field between the plates is.........$N/C$
    View Solution
  • 5
    $100$ capacitors each having a capacity of $10\,\mu F$ are connected in parallel and are charged by a potential difference of $100\,kV$. The energy stored in the capacitors and the cost of charging them, if electrical energy costs $108\;paise\;per\;kWh$, will be
    View Solution
  • 6
    A point charge $2 \times 10^{-2}\,C$ is moved from $P$ to $S$ in a uniform electric field of $30\,NC ^{-1}$ directed along positive $x$-axis. If coordinates of $P$ and $S$ are $(1,2$, $0) m$ and $(0,0,0) m$ respectively, the work done by electric field will be $.........\,mJ$
    View Solution
  • 7
    In an adjoining figure are shown three capacitors ${C_1}$,${C_2}$ and ${C_3}$ joined to a battery. The correct condition will be (Symbols have their usual meanings)
    View Solution
  • 8
    Three capacitors $C_1,\,C_2$ and $C_3$ are connected as shown in the figure to a battery of $V\,volt$. If the capacitor $C_3$ breaks down electrically the change in total charge on the combination of capacitors is
    View Solution
  • 9
    A series combination of $n_1$ capacitors, each of value $C_1$ is charged by a source of potential difference $4\, V.$ When another parallel combination of $n_2$ capacitors, each of value $C_2,$ is charged by a source of potential difference $V$, it has the same (total) energy stored in it, as the first combination has. The value of $C_2,$ in terms of $C_1$ is then
    View Solution
  • 10
    A short electric dipole has a dipole moment of $16 \times 10^{-9}\, Cm .$ The electric potential due to the dipole at a point at a distance of $0.6\, m$ from the centre of the dipole, situated on a line making an angle of $60^{\circ}$ with the dipole axis is $.........V$

    $\left(\frac{1}{4 \pi \in_{0}}=9 \times 10^{9} Nm ^{2} / C ^{2}\right)$

    View Solution