A conducting sphere of radius a has charge Q | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

Radius $=a$

charge $=Q$

radius $=2 a$ (inner)

outer radius $=3 a$

Electric field due to each sphere

$E_{1}=E_{3}=0$ (inside the inner c

Vedclass · Accepted Answer

$\frac{5}{{12}}\frac{{k{Q^2}}}{a}$

Vedclass · Answer

Radius $=a$

charge $=Q$

radius $=2 a$ (inner)

outer radius $=3 a$

Electric field due to each sphere

$E_{1}=E_{3}=0$ (inside the inner conductor from $O$ to a and from $2 a$ to $3 a$ in conducting shell)

$E_{2}$ and $E_{4}=\frac{K Q}{r^{2}}$

Now,

$d U=0.5 e\left\{E_{2} r^{2} \cdot d r(a \; to \; 2 a)\right\}+E_{4} 2 r^{2} d r\{3 a \; to\;  \alpha\}$

$=\frac{5}{12} \frac{Q^{2}}{4 \pi \epsilon_{0} a}$

$=\frac{5}{{12}}\frac{{k{Q^2}}}{a}$

A conducting sphere of radius a has charge $Q$ on it. It is enclosed by a neutral conducting concentric spherical shell having inner radius $2a$ and outer radius $3a.$ Find electrostatic energy of system.

Similar Questions

A circle of radius $R$ is drawn with charge $+ q$ at the centre. A charge $q_0$ is brought from point $B$ to $C$, then work done is

$n$ the rectangle, shown below, the two corners have charges ${q_1} = - 5\,\mu C$ and ${q_2} = + 2.0\,\mu C$. The work done in moving a charge $ + 3.0\,\mu C$ from $B$ to $A$ is.........$J$ $(1/4\pi {\varepsilon _0} = {10^{10}}\,N{\rm{ - }}{m^2}/{C^2})$

When one electron is taken towards the other electron, then the electric potential energy of the system

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

Define an electrostatic potential energy.