A hollow spherical conducting shell of inner radius r1 and outer radius r2 has a charge Q. A charge + q is placed at the centre of the sphere. The surface charge densities on the inner and outer surfaces of the sphere will be respectively :-

Question

A hollow spherical conducting shell of inner radius r1 and outer radius r2 has a charge Q. A charge + q is placed at the centre of the sphere. The surface charge densities on the inner and outer surfaces of the sphere will be respectively :- (A) (q/4 π r12) and (q/4 π r22) (B) (- q /4 π r12) and (Q+q/4 π r22) (C) ( q /4 π r12) and (Q-q/4 π r22) (D) 0 and ( Q - q /4 π r 22)

Tardigrade Admin · Accepted Answer

σ text in =(-q/4 π r12) σ text out =(Q+q/4 π r22) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/50322a889fa8440d38953558901c8eb3-.png" />

Q. A hollow spherical conducting shell of inner radius $r_{1}$ and outer radius $r_{2}$ has a charge $Q$ . A charge $+ q$ is placed at the centre of the sphere. The surface charge densities on the inner and outer surfaces of the sphere will be respectively :-

$\frac{q}{4 π r _{1}^{2}}$ and $\frac{q}{4 π r _{2}^{2}}$

$\frac{- q}{4 π r _{1}^{2}}$ and $\frac{Q + q}{4 π r _{2}^{2}}$

$\frac{q}{4 π r _{1}^{2}}$ and $\frac{Q - q}{4 π r _{2}^{2}}$

$0$ and $\frac{Q - q}{4 π r _{2}^{2}}$

Q. A hollow spherical conducting shell of inner radius r1​ and outer radius r2​ has a charge Q. A charge +q is placed at the centre of the sphere. The surface charge densities on the inner and outer surfaces of the sphere will be respectively :-

4πr12​q​ and 4πr22​q​

4πr12​−q​ and 4πr22​Q+q​

4πr12​q​ and 4πr22​Q−q​

0 and 4πr22​Q−q​

σin ​=4πr12​−q​ σout ​=4πr22​Q+q​<br/><imgclass="img−fluidquestion−image"alt="image"src="https://cdn.tardigrade.in/img/question/physics/50322a889fa8440d38953558901c8eb3−.png"/>

Q. A hollow spherical conducting shell of inner radius $r_{1}$ and outer radius $r_{2}$ has a charge $Q$ . A charge $+ q$ is placed at the centre of the sphere. The surface charge densities on the inner and outer surfaces of the sphere will be respectively :-

$\frac{q}{4 π r _{1}^{2}}$ and $\frac{q}{4 π r _{2}^{2}}$

$\frac{- q}{4 π r _{1}^{2}}$ and $\frac{Q + q}{4 π r _{2}^{2}}$

$\frac{q}{4 π r _{1}^{2}}$ and $\frac{Q - q}{4 π r _{2}^{2}}$

$0$ and $\frac{Q - q}{4 π r _{2}^{2}}$