Chapter 22, Problem 42A

To determine

To define: The unit of electric current in terms of units of charge and time.

Answer to Problem 42A

  $1\text{A}=1\text{C/s}$

Explanation of Solution

Introduction:

The current is defined as the amount of charge flowing through a cross-section in a unit time.

Considering the above definition, it can be written as,

  $I=\frac{q}{t}$

Where,

  $\begin{array}{c}I=\text{ current}\\ q=\text{ charge}\\ t=\text{time}\end{array}$

Then, the SI units of above can be written as,

  $\begin{array}{l}1\text{A}=\frac{1\text{C}}{1\text{s}}\\ 1\text{A}=1\text{C/s}\end{array}$

Conclusion:

Hence, the unit of electric current in terms of units of charge and time is $1\text{C/s}$ .