At distance of $5$ $cm$ and $10$ $cm $ outwards from the surface of a uniformly charged solid sphere, the potentials are $100$ $V$ and $75$ $V$ respectively . Then
Diffcult
Download our app for free and get startedPlay store
Potential at $5 \mathrm{cm}$ from surface $=\frac{K Q}{R+5}=100$

Potential at $10 \mathrm{cm}$ from surface

$=\frac{K Q}{R+10}=75 \Rightarrow R=10 \mathrm{cm}$

$\therefore$ Potential at surface $=\frac{K Q}{R}=\frac{100 \times 15}{10}=150 \mathrm{V}$

Electric field on surface $=\frac{K Q}{R^{2}}=\frac{100 \times 15 V \times c m}{100 c m^{2}}$

$=1500 \mathrm{V} / \mathrm{m}$

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
    If $Q$ is the charge on the plates of a capacitor of capacitance $C, V$ the potential difference between the plates, $A$ the area of each plate and $d $ the distance between the plates, the force of attraction between the plates is
    View Solution
  • 2
    A non-conducting ring of radius $0.5\,m$ carries a total charge of $1.11 \times {10^{ - 10}}\,C$ distributed non-uniformly on its circumference producing an electric field $\vec E$ everywhere in space. The value of the line integral $\int_{l = \infty }^{l = 0} {\, - \overrightarrow E .\overrightarrow {dl} } \,(l = 0$ being centre of the ring) in volt is
    View Solution
  • 3
    In the transient shown the time constant of the circuit is : 
    View Solution
  • 4
    The combination of capacitors with ${C_1} = 3\,\mu \,F,\,{C_2} = 4\,\mu \,F$ and ${C_3} = 2\,\mu \,F$ is charged by connecting $AB$ to a battery. Consider the following statements

    $I.$ Energy stored in ${C_1}$ $=$ Energy stored in ${C_2}$ $+$ Energy stored in ${C_3}$

    $II.$ Charge on ${C_1}$ $=$ Charge on ${C_2}$ $+$ Charge on ${C_3}$

    $III.$ Potential drop across ${C_1}$ $=$ Potential drop across ${C_2}$ $=$ Potential drop across ${C_3}$

    Which of these is/are correct

    View Solution
  • 5
    Four equal charges $Q$ are placed at the four corners of a square of each side is $'a'$. Work done in removing a charge $-Q$ from its centre to infinity is
    View Solution
  • 6
    A $10\,pF$ capacitor is connected to a $50 \,V$ battery. How much electrostatic energy is stored in the capacitor
    View Solution
  • 7
    Three concentric spherical shells have radii $a, b$ and $c (a < b < c)$ and have surface charge densities $\sigma ,-\;\sigma $ and $\;\sigma \;$ respectively. If  $V_A,V_B$ and $V_C$  denote the potentials of the three shells, then, for $c = a +b,$ we have
    View Solution
  • 8
    A metallic spherical shell has an inner radius $R_1$ and outer radius $R_2$. A charge $Q$ is placed at the centre of the spherical cavity. What will be surface charge density on the inner surface
    View Solution
  • 9
    If $q$ is the charge per unit area on the surface of a conductor, then the electric field intensity at a point on the surface is
    View Solution
  • 10
    When a positive $q$ charge is taken from lower potential to a higher potential point, then its potential energy will
    View Solution