S L Arora Solutions for Chapter: Electric Charges and Field, Exercise 2: VERY SHORT ANSWER CONCEPTUAL PROBLEMS

Consider the situation shown in Figure What are the signs of $q_1$ and $q_2$? If the lines are drawn in proportion to the charge, what is the ratio $\frac{{\mathrm{q}}_1}{{\mathrm{q}}_2}$?

An arbitrary surface encloses a dipole. What is the electric flux through this surface?

The force on an electron kept in an electric field in a particular direction is $F$. What will be the magnitude and direction of the force experienced by a proton at the same point in the field? Mass of the proton is $1836$ times the mass of the electron.

Figure shows three charges $+2q,-q$ and $+3q$. Two charges $+2q$ and $-q$ are enclosed within a surface '$S$'. What is the electric flux due to this configuration through the surface '$S$'?

Two charges of magnitudes $-2 Q$ and $+Q$ are located at points ($a, 0$) and ($4a, 0$) respectively. What is the electric flux due to these charges through a sphere of radius '$3a$' with its centre at the origin?

A point charge $+Q$ is placed at the centre $O$ of an uncharged hollow spherical conductor of inner radius '$a$' and outer radius '$b$'. Find the following:

The magnitude and sign of the charge induced on the inner and outer surfaces of the conducting shell.

A point charge $+Q$ is placed at the centre $O$ of an uncharged hollow spherical conductor of inner radius '$a$' and outer radius '$b$'. Find the following:

The magnitude of electric field vector at a distance $r=\frac{a}{2}$ from the centre of the shell.

A point charge $+Q$ is placed at the centre $O$ of an uncharged hollow spherical conductor of inner radius '$a$' and outer radius '$b$'. Find the following:

The magnitude of electric field vector at a distance $r=2b$ from the centre of the shell.