A point charge is surrounded symmetrically by six identical charges at distance $r$ as shown in the figure. How much work is done by the forces of electrostatic repulsion when the point charge $q$ at the centre is removed at infinity
Medium
Download our app for free and get started
(b) Total potential at the centre $V = \frac{{6q}}{{4\pi {\varepsilon _0}r}}$
Required work done $ = q.V = \frac{{6{q^2}}}{{4\pi {\varepsilon _0}r}}$
Required work done $ = q.V = \frac{{6{q^2}}}{{4\pi {\varepsilon _0}r}}$
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
- 1Two concentric spheres $A$ and $B$ are kept very near to each other. $A$ is negatively charged and $B$ is earthed. The true statement isView Solution
$(A)$ Charge on $B$ is zero
$(B)$ Potential at $B$ is zero
$(C)$ Charge is uniformly distributed on $A$
$(D)$ Charge is non uniformly distributed on $A$
- 2View SolutionAssertion : A metallic shield in form of a hollow shell may be built to block an electric field.
Reason : In a hollow spherical shield, the electric field inside it is zero at every point.
- 3View SolutionConsidering a group of positive charges, which of the following statements is correct?
- 4An 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 another point charge $q_B$ is also placed at a distance $c ( > b) $ the center of shell, then choose the correct statements
- 5A $500\,\mu F$ capacitor is charged at a steady rate of $100\, \mu C/sec$. The potential difference across the capacitor will be $10\, V$ after an interval of.....$sec$View Solution
- 6Match the pairsView Solution
Capacitor Capacitance $(A)$ Cylindrical capacitor $(i)$ ${4\pi { \in _0}R}$ $(B)$ Spherical capacitor $(ii)$ $\frac{{KA{ \in _0}}}{d}$ $(C)$ Parallel plate capacitor having dielectric between its plates $(iii)$ $\frac{{2\pi{ \in _0}\ell }}{{ln\left( {{r_2}/{r_1}} \right)}}$ $(D)$ Isolated spherical conductor $(iv)$ $\frac{{4\pi { \in _0}{r_1}{r_2}}}{{{r_2} - {r_1}}}$ - 7Six point charges are kept at the vertices of a regular hexagon of side $L$ and centre $O$, as shown in the figure. Given that $K=\frac{1}{4 \pi \varepsilon_0} \frac{q}{L^2}$, which of the following statement $(s)$ is (are) correct?View Solution
$(A)$ the elecric field at $O$ is $6 K$ along $O D$
$(B)$ The potential at $O$ is zero
$(C)$ The potential at all points on the line $PR$ is same
$(D)$ The potential at all points on the line $ST$ is same.
- 8In an isolated parallel plate capacitor of capacitance $C$, the four surface have charges ${Q_1}$, ${Q_2}$, ${Q_3}$ and ${Q_4}$ as shown. The potential difference between the plates isView Solution
- 9If the capacity of a spherical conductor is $1$ picofarad, then its diameter, would beView Solution
- 10Three capacitors of $2\,\mu F,\,3\,\mu F$ and $6\,\mu F$ are joined in series and the combination is charged by means of a $24\, volt$ battery. The potential difference between the plates of the $6\,\mu F$ capacitor is.......$volt$View Solution