Chapter 17, Problem 1RQ

To determine

Whether the statement ‘if $3\text{C}$ of charge passes a point in a wire in $10\text{s}$, the current is $0.3\text{A}$’ is true or false.

Answer to Problem 1RQ

True.

Explanation of Solution

The current in a wire is defined as the number of charges crossing a particular point in the conductor in unit time. It can be mathematically expressed as,

  $I=\frac{\Delta Q}{\Delta t}$

Here, $I$ is the current, $\Delta Q$ is the charge transported, and $\Delta t$ is the time interval.

Substituting $3\text{C}$ for $\Delta Q$, and $10\text{s}$ for $\Delta t$ in the above equation to find $I$.

  $\begin{array}{c}I=\frac{3\text{C}}{10\text{s}}\\ =0.3\text{A}\end{array}$

Conclusion:

Thus, the statement ‘if $3\text{C}$ of charge passes a point in a wire in $10\text{s}$, the current is $0.3\text{A}$’ is true.