The energy stored in the electric field produced by a metal sphere is $4.5\, J$. lf the sphere contains $4\,\mu C$ charge, its radius will be.......$mm$ : [Take : $\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {10^9}\,N - {m^2}\,/{C^2}\, ]$
JEE MAIN 2017, Diffcult
Download our appand 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
- 1Identify the $WRONG$ statementView Solution
- 2An 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 '$View Solution
If a point charge $q_A$ is placed at the center of the shell, then choose the correct statement $(s)$
- 3An electric dipole is placed on the $x-$axis as shown in the figure. Consider a spherical closed surface around it. ThenView Solution
- 4A network of four capacitors of capacity equal to ${C_1} = C,\,\,{C_2} = 2C,\,{C_3} = 3C$ and ${C_4} = 4C$ are conducted in a battery as shown in the figure. The ratio of the charges on ${C_2}$ and ${C_4}$ isView Solution
- 5From a supply of identical capacitors rated $8\ \mu F$, $250\ V$, the minimum number of capacitors required to form a composite $16$ $\mu F$, $1000$ $V$ is :View Solution
- 6In the given figure the capacitors ${C_1},{C_3},{C_4},{C_5}$ have a capacitance $4\,\mu F$ each if the capacitor $C_2$ has a capacitance $10\,F$, then effective capacitance between $A$ and $B$ will be.....$\mu F$View Solution
- 7If the dielectric constant and dielectric strength be denoted by $k$ and $x$ respectively, then a material suitable for use as a dielectric in a capacitor must haveView Solution
- 8An electric field of $1000\,V/m$ is applied to an electric dipole at angle of $45^o$. The value of electric dipole moment is $10^{-29}\, C.m.$ What is the potential energy of the electric dipole?View Solution
- 9In the given circuit switch $S$ is closed at $t = 0$ . The current $I$ in the figure at time $t$ isView Solution
- 10A 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