Download App
Ten charges are placed on the circumference of a circle of radius $R$ with constant angular separation between successive charges. Alternate charges $1,3,5,7,9$ have charge $(+q)$ each, while $2,4,6,8,10$ have charge $(-q)$ each. The potential $V$ and the electric field $E$ at the centre of the circle are respectively

(Take $V =0$ at infinity $)$

  • A$V =\frac{10 q }{4 \pi \in_{0} R } ; E =\frac{10 q }{4 \pi \in_{0} R ^{2}}$
  • B$V =0, E =\frac{10 q }{4 \pi \in_{0} R ^{2}}$
  • C$V =0, E =0$
  • D$V =\frac{10 q }{4 \pi \varepsilon_{0} R } ; E =0$
JEE MAIN 2020, 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.*
Download App

Similar Questions

  • 1
    A thin metallic spherical shell contains a charge $Q$ on it. A point charge $+q$ is placed at the centre of the shell and another charge $q'$ is placed outside it as shown in fig. All  the three charges are positive. The force on the central charge due to the shell is :-
    View Solution
  • 2
    Ten electrons are equally spaced and fixed around a circle of radius $R$. Relative to $V = 0$ at infinity, the electrostatic potential $V$ and the electric field $E$ at the centre $C$ are
    View Solution
  • 3
    The insulated spheres of radii ${R_1}$ and ${R_2}$ having charges ${Q_1}$and ${Q_2}$ respectively are connected to each other. There is
    View Solution
  • 4
    In the circuit shown, charge on the $5\, \mu F$ capacitor is$........\mu C$
    View Solution
  • 5
    A $2\, \mu F$ capacitor $C _{1}$ is first charged to a potential difference of $10\, V$ using a battery.Then the battery is removed and the capacitor is connected to an uncharged capacitor $C _{2}$ of $8\, \mu F$. The charge in $C _{2}$ on equilibrium condition is $\ldots\,\mu C$. (Round off to the Nearest Integer)
    View Solution
  • 6
    A parallel plate capacitor of area $A$, plate separation $d$ and capacitance $C$ is filled with three different dielectric materials having dielectric constants ${k_1},{k_2}$ and ${k_3}$ as shown. If a single dielectric material is to be used to have the same capacitance $C$ in this capacitor, then its dielectric constant $k$ is given by
    View Solution
  • 7
    For the circuit shown, which of the following statements is true
    View Solution
  • 8
    Voltage rating of a parallel plate capacitor is $500\,V$. Its dielectric can withstand a maximum electric field of ${10^6}\,\frac{V}{m}$. The plate area is $10^{-4}\, m^2$ . What is the dielectric constant if the capacitance is $15\, pF$ ? (given ${ \in _0} = 8.86 \times {10^{ - 12}}\,{C^2}\,/N{m^2}$)
    View Solution
  • 9
    A condenser of capacitance $10\,\mu F$ has been charged to $100\,volts$. It is now connected to another uncharged condenser in parallel. The common potential becomes $40\,volts$. The capacitance of another condenser is......$\mu F$
    View Solution
  • 10
    The plates of a parallel plate capacitor with no dielectric are connected to a voltage source. Now a dielectric of dielectric constant $K $ is inserted to fill the whole space between the plates with voltage source remaining connected to the capacitor.
    View Solution