In the figure shown the electric potential energy of the system is: ( $q$ is at the centre of the conducting neutral spherical shell of inner radius $a$ and outer radius $b$ )
Medium
Download our app for free and get started
$U\, = \,\frac{{ - kqq}}{a}\, + \,\frac{{{\rm{kqq}}}}{b} - \,\frac{{{\rm{kqq}}}}{b} + \frac{{k{q^2}}}{{2a}} + \frac{{k{q^2}}}{{2b}} = \frac{{k{q^2}}}{{2b}} - \frac{{k{q^2}}}{{2a}}$
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
- 1Assertion : The total charge stored in a capacitor is zero.View Solution
Reason : The field just outside the capacitor is $\frac{\sigma }{{{\varepsilon _0}}}$. ( $\sigma $ is the charge density).
- 2The mean free path of electrons in a metal is $4 \times 10^{-8} \;m$. The electric field which can give on an average $2 \;eV$ energy to an electron in the metal will be in units of $V / m$View Solution
- 3View SolutionCalculate the charge on the second capacitor before and after switch in the circuit is closed
- 4A battery does $200 \,J$ of work in charging a capacitor. The energy stored in the capacitor is ......... $J$View Solution
- 5A charge of $40\,\mu \,C$ is given to a capacitor having capacitance $C = 10\,\mu \,F$. The stored energy in ergs isView Solution
- 6A $2 \ \mu F$ capacitor is charged as shown in figure. The percentage of its stored energy dissipated after the switch $S$ is turned to position $2$ isView Solution
- 7If an electron enters into a space between the plates of a parallel plate capacitor at an angle $\alpha $ with the plates and leaves at an angle $\beta $ to the plates, the ratio of its kinetic energy while entering the capacitor to that while leaving will beView Solution
- 8The variation of electrostatic potential with radial distance $r$ from the centre of a positively charged metallic thin shell of radius $R$ is given by the graphView Solution
- 9The give graph shown variation (with distance $r$ from centre) ofView Solution
- 10Initially the circuit is in steady state. Now one of the capacitor is filled with dielectric of dielectric constant $2$ . Find the heat loss in the circuit due to insertion of dielectricView Solution
