Two conducting hollow sphere of radius $R$ and $3R$ are found to have $Q$ charge on outer surface when both are connected with a long wire and $q'$ charge is kept at the centre of bigger sphere. Then which one is true
Medium
Download our app for free and get startedPlay store
Equipotential surface

$\frac{\mathrm{k} \mathrm{Q}}{\mathrm{R}}=\frac{\mathrm{k} \mathrm{Q}}{3 \mathrm{R}}+\frac{\mathrm{k} \mathrm{q}^{\prime}}{3 \mathrm{R}}$

$\frac{2 \mathrm{k} \mathrm{Q}}{3 \mathrm{R}}=\frac{\mathrm{kq}^{\prime}}{3 \mathrm{R}}$

$q^{\prime}=2 Q$

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
    Minimum number of $2\,\mu F$ and $250\, V$ capacitors used to make a combination of $12\,\mu F$ and $500\,V$ are
    View Solution
  • 2
    Two capacitors each of capacity $2\,\mu F$ are connected in parallel. This system is connected in series with a third capacitor of $12\,\mu F$ capacity. The equivalent capacity of the system will be......$\mu F$
    View Solution
  • 3
    Potential difference between centre $\&$ the surface of sphere of radius $R$ and uniform volume charge density $\rho$ within it will be :
    View Solution
  • 4
    At a certain distance from a point charge, the field intensity is $500\, Vm^{-1}$ and the potential is $-3000\, V$. The distance to the charge and the magnitude of the charge respectively are
    View Solution
  • 5
    A spherical drop of mercury having a potential of $2.5\, V$ is obtained as a result of merging $125$ droplets. The potential of constituent droplets would be........$V$
    View Solution
  • 6
    Two identical thin rings each of radius $R$ meters are coaxially placed at a distance $R$ meters apart. If $Q_1$ coulomb and $Q_2$ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge $q$ from the centre of one ring to that of other is
    View Solution
  • 7
    A capacitor of capacitance $10\, mF$ is connected to a battery of emf $2\,V.$ It is found that it takes $50\, ms$ for the charge on the capacitor to become $12.6 \,mC.$ Then the resistance of the circuit is :.......$\, k \Omega$ (Take $1/e = 0.37$):-
    View Solution
  • 8
    The area of each plate of a parallel plate capacitor is $20\,cm^2$ and separation between the plates is $2\,mm$. If dielectric strength of air is $3 \times 10^6\,V/m,$ the maximum possible value of emf of the battery, which can be connected across the plates of this capacitor and the corresponding charge on the plates is
    View Solution
  • 9
    The electrostatic potential due to an electric dipole at a distance ' $r$ ' varies as :
    View Solution
  • 10
    Two capacitors ${C_1} = 2\,\mu \,F$ and ${C_2}\, = \,6\,\mu \,F$ in series, are connected in parallel to a third capacitor ${C_3} = \,4\,\mu \,F$. This arrangement is then connected to a battery of $e.m.f.$ $=$ $2V$, as shown in the figure. How much energy is lost by the battery in charging the capacitors
    View Solution