Consider a thin spherical shell of radius $R$ with its centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field $|\vec{E}(r)|$ and the electric potential $V(r)$ with the distance r from the centre, is best represented by which graph?
  • A

  • B

  • C

  • D

IIT 2012, Advanced
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
    When a dielectric material is introduced between the plates of a charged condenser then electric field between the plates
    View Solution
  • 2
    The capacitor of capacitance $C$ in the circuit shown is fully charged initially resistance is $R$. After the switch $S$ is closed, the time taken to reduce the stored energy in the capacitor to half its initial value is
    View Solution
  • 3
    Potential atapoint $A$ is $3 $ $ volt$ and atapoint $B$ is $7$ $volt$,an electron is moving towards $A$ from $B.$
    View Solution
  • 4
    Two identical thin metal plates has charge $q _{1}$ and $q _{2}$ respectively such that $q _{1}> q _{2}$. The plates were brought close to each other to form a parallel plate capacitor of capacitance $C$. The potential difference between them is.
    View Solution
  • 5
    Some charge is being given to a conductor. Then its potential is
    View Solution
  • 6
    As shown in figure, on bringing a charge $Q$ from point $A$ to $B$ and from $B$ to $C$, the work done are $2\, joule$ and $-3\, joule$ respectively. The work done to bring the charge from $C$ to $A$ is
    View Solution
  • 7
    Two metal spheres, one of radus $R$ and the other of radius $2 R$ respectively have the same surface charge density $\sigma$. They are brought in contact and separated. What will be the new surface charge densities on them?
    View Solution
  • 8
    A parallel plate capacitor with plate area $A$ and plate separation $d =2 \,m$ has a capacitance of $4 \,\mu F$. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant $K =3$ (as shown in figure) will be .........$ \mu \,F$
    View Solution
  • 9
    A capacitor of capacitance $C=1\, \mu \,{F}$ is suddenly connected to a battery of $100\, volt$ through a resistance ${R}=100\, \Omega$. The time taken for the capacitor to be charged to get $50 \,{V}$ is $....\,\times \,10^{-4}\,s.$

    [Take $\ln 2=0.69]$

    View Solution
  • 10
    A condenser of $2\,\mu F$ capacitance is charged steadily from $0$ to $5$ $Coulomb$. Which of the following graphs correctly represents the variation of potential difference across its plates with respect to the charge on the condenser
    View Solution