Chapter 27, Problem 1OQ

To determine

The quantity designated by Ampere-hours.

Answer to Problem 1OQ

Option (d) Ampere-hour designates the amount of charge.

Explanation of Solution

Write the expression for Ampere.

    $1\text{Ampere}=1\text{C}/\text{s}$                                            (I)

Here, $\text{C}$ is Coulomb and $\text{s}$ is second.

Write the expression for Ampere-hour.

    $1\text{Ampere-hour}=1\text{A}\times 1\text{hour}$                        (II)

Conclusion:

Substitute $3600\text{s}$ for $1\text{hour}$ in equation (II) to find $1\text{Ampere-hour}$.

    $\begin{array}{c}1\text{Ampere-hour}=1\text{A}\times 1\text{h}\times \left(\frac{3600\text{s}}{1\text{h}}\right)\\ =3600\text{C}\end{array}$

The $1$ Ampere-hour is equal to $3600\text{C}$, which is charge. Thus, option (d) is correct.

The unit for current is Ampere. Thus, option (a) is incorrect.

The unit for power is Watt. Thus, option (b) is incorrect.

The unit for energy is Joule. Thus, option (c) is incorrect.

The unit for potential is Volts. Thus, option (e) is incorrect.