S L Arora Solutions for Chapter: Electric Charges and Field, Exercise 3: SHORT ANSWER CONCEPTUAL PROBLEMS

A thin metallic spherical shell of radius $R$ carries a charge $Q$ on its surface. A point charge $\frac{Q}{2}$ is placed at its centre $C$ and another charge $+2Q$ is placed outside the shell at a distance $X$ from the centre as shown in Fig.

Find the force on the charge at the centre of shell and at the point $A$.

A thin metallic spherical shell of radius $R$ carries a charge $Q$ on its surface. A point charge $\frac{Q}{2}$ is placed at its centre $C$ and another charge $+2Q$ is placed outside the shell at a distance $X$ from the centre as shown in Fig. 1.125.

Find the electric flux through the shell.

Two thin concentric and coplanar spherical shells, of radii $a$ and $b$ $(b>a)$ carry charges, $q$ and $Q$ respectively. Find the magnitude of the electric field, at a point distant$x$, from their common centre for $0<x<a$.

Two thin concentric and coplanar spherical shells, of radii $a$ and $b$ $(b>a)$ carry charges, $q$ and $Q$ respectively. Find the magnitude of the electric field, at a point distant$x$, from their common centre for $a\le x<b$.

Two thin concentric and coplanar spherical shells, of radii $a$ and $b$ $(b>a)$ carry charges, $q$ and $Q$ respectively. Find the magnitude of the electric field, at a point distant$x$, from their common centre for $b\le x<\infty$.

A spherical rubber balloon carries a charge that is uniformly distributed over its surface. As the balloon is blown up how does $E$ vary for points inside the balloon?

A spherical rubber balloon carries a charge that is uniformly distributed over its surface. As the balloon is blown up how does $E$ vary for points on the surface of the balloon?

A spherical rubber balloon carries a charge that is uniformly distributed over its surface. As the balloon is blown up how does $E$ vary for points outside the balloon?