The variation of potential with distance $R$ from a fixed point is as shown below. The electric field at $R = 5\,m$ is......$volt/m$
Medium
Download our app for free and get startedPlay store
(a)Intensity at $5\,m$ is same as at any point between $B$ and $C$ because the slope of $BC$ is same throughout (i.e., electric field between $B$ and $C$ is uniform). Therefore electric field at $R = 5$ $m$ is equal to the slope of line $BC$ hence by $E = \frac{{ - dV}}{{dr}}$;
$E = - \frac{{(0 - 5)}}{{6 - 4}} = 2.5\,\frac{V}{m}$
At $R = 1\,m$, $E = - \frac{{(5 - 0)}}{{(2 - 0)}} = - 2.5\,\frac{V}{m}$
and at $R = 3\,m$ potential is constant so $E = 0$.
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
    See the diagram . Area of each plate is $2.0\ m^2$ and $d = 2 \times 10^{-3}\ m$. A charge of $8.85 \times 10^{-8}\ C$ is given to $Q$. Then the potential of $Q$ becomes......$V$
    View Solution
  • 2
    A parallel plate capacitor is charged and then disconnected from the source steady $E.M.F.$ The plates are then drawn apart farther. Again it is connected to the same source. Then :
    View Solution
  • 3
     An empty thick conducting shell of inner radius $a$ and outer radius $b$ is shown in figure.If it is observed that the inner face of the shell carries a uniform charge density $-\sigma$ and the surface carries a uniform charge density $ '\sigma '$

    If the inner surface of the shell is earthed, then identify the correct statement(s)

    View Solution
  • 4
    As in figure shown, if a capacitor $C$ is charged by connecting it with resistance $R$, then energy is given by the battery will be
    View Solution
  • 5
    The equivalent capacitance between $A$ and $B$ is
    View Solution
  • 6
    If a solid and a hollow conducting sphere have same radius then
    View Solution
  • 7
    A pellet carrying charge of $0.5\, coulombs$ is accelerated through a potential of $2,000\, volts$. It attains a kinetic energy equal to
    View Solution
  • 8
    A body of capacity $4\,\mu \,F$ is charged to $80\,V$ and another body of capacity $6\,\mu \,F$ is charged to $30\,V$. When they are connected the energy lost by $4\,\mu \,F$ capacitor is.......$mJ$
    View Solution
  • 9
    Two capacitors of capacities $2 {C}$ and ${C}$ are joined in parallel and charged up to potential ${V}$. The battery is removed and the capacitor of capacity $C$ is filled completely with a medium of dielectric constant ${K}$. The potential difference across the capacitors will now be
    View Solution
  • 10
    On each side of a polygon of $n$ sides a capacitor of capacitance $C$ is placed as shown in figure. Equivalent capacitance across $A$ and $B$ is
    View Solution