A conducting sphere $A$ of radius $a$, with charge $Q$, is placed concentrically inside a conducting shell $B$ of radius $b$. $B$ is earthed. $C$ is the common centre of the $A$ and $B$.
A conducting sphere $A$ of radius $a$, with charge $Q$, is placed concentrically inside a conducting shell $B$ of radius $b$. $B$ is earthed. $C$ is the common centre of the $A$ and $B$.
- A
The field is a distance $r$ from $C$, where $a \leq r \leq b,$ is $\frac{1}{{4\pi \,{\varepsilon _0}}}\,\frac{Q}{{{r^2}}}$
- B
The potential at a distance $r$ from $C$, where $a \leq r \leq b,$ $\frac{1}{{4\pi \,{\varepsilon _0}}}\,Q\,\left( {\frac{1}{r}\, - \,\frac{1}{b}} \right)$
- C
The potential difference between $A$ and $B$ is $\frac{1}{{4\pi \,{\varepsilon _0}}}\,Q\,\left( {\frac{1}{a}\, - \,\frac{1}{b}} \right)$
- D
all of the above
Similar Questions
A non uniformly shaped conductor is charged then at it's sharpest point
A non uniformly shaped conductor is charged then at it's sharpest point
For the situation shown in the figure below, mark out the correct statement
For the situation shown in the figure below, mark out the correct statement
Charges $Q, 2Q$ and $-Q$ are given to three concentric conducting shells $A, B$ and $C$ respectively as shown the ratio of charges on inner and outer surfaces of shell $C$ will be
Charges $Q, 2Q$ and $-Q$ are given to three concentric conducting shells $A, B$ and $C$ respectively as shown the ratio of charges on inner and outer surfaces of shell $C$ will be
An 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 '$
If another point charge $q_B$ is also placed at a distance $c ( > b) $ the center of shell, then choose the correct statements
An 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 '$
If another point charge $q_B$ is also placed at a distance $c ( > b) $ the center of shell, then choose the correct statements
Sixty four conducting drops each of radius $0.02 m$ and each carrying a charge of $5 \,\mu C$ are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be ............
Sixty four conducting drops each of radius $0.02 m$ and each carrying a charge of $5 \,\mu C$ are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be ............
- [JEE MAIN 2022]