Chapter 14, Problem 14B.1DQ

(a)

Interpretation Introduction

Interpretation:

The terms present in the expression, $V=-Q_2{\mu }_1/4\pi {\epsilon }_0{r}^2$ are to be identified. The conditions under which this expression is valid are to be stated.

Concept introduction:

The dipole under which the separation of the charges is very small as compared to the distance at which the dipole exists is known as point dipole.

The expression that is used to represent the Coulomb potential energy between two charges, $Q_1$ and $Q_2$, is given below.

    $V=\frac{Q_1{Q}_2}{4\pi {\epsilon }_{0}r}$

(b)

Interpretation Introduction

Interpretation:

The terms present in the expression, $V=-Q_2{\mu }_1\cos \theta /4\pi {\epsilon }_0{r}^2$ are to be identified. The conditions under which this expression is valid are to be stated.

Concept introduction:

The dipole under which the separation of the charges is very small as compared to the distance at which the dipole exists is known as point dipole.

The expression that is used to represent the Coulomb potential energy between two charges, $Q_1$ and $Q_2$, is given below.

    $V=\frac{Q_1{Q}_2}{4\pi {\epsilon }_{0}r}$

(c)

Interpretation Introduction

Interpretation:

The terms present in the expression, $V={\mu }_2{\mu }_1\left(1-3{\cos }^2\theta \right)/4\pi {\epsilon }_0{r}^3$ are to be identified. The conditions under which this expression is valid are to be stated.

Concept introduction:

The dipole under which the separation of the charges is very small as compared to the distance at which the dipole exists is known as point dipole.

The expression that is used to represent the Coulomb potential energy between two charges, $Q_1$ and $Q_2$, is given below.

    $V=\frac{Q_1{Q}_2}{4\pi {\epsilon }_{0}r}$