Chapter 7, Problem 40R

To determine

To compare:The magnetic field strength $\text{1 cm}$ from the wire compared to that $5\text{ cm}$ from the wire, using the graph.

Explanation of Solution

Given:

Consider the graph of magnetic field strength vs distance from wire provided in the question.

In the given graph, the smallest division along x-axis is $\text{1 cm}$ and that along y-axis is $\text{4 μT}$ .

The graph shows that magnetic field strength decreases with increase in distance from the wire.

The magnetic field strength corresponding to $\text{1 cm}$ distance from the wire is $20\text{ μT}$ , while the magnetic field strength corresponding to $5\text{ cm}$ distance from the wire is $\text{4 μT}$ .

Thus, the magnetic field strength $\text{1 cm}$ from the wire is five times larger compared to $5\text{ cm}$ from the wire (five times of $\text{4 μT}$ is $20\text{ μT}$ ).

Conclusion: The magnetic field strength $\text{1 cm}$ from the wire is five times larger compared to magnetic field strength $5\text{ cm}$ from the wire.