Question

the graph below shows the electrical resistance of a wire as a function of its length. what is the resistance of the wire when the length is 1 m? what would the resistance be if the length is 10 m? resistance (milliohm) length (m)

Explanation:

Step1: Identify data points on graph

From the graph, when length $L = 1$ m, we can estimate the resistance $R$ by looking at the value on the resistance - axis corresponding to $L = 1$ m. When $L=10$ m, we do the same.

Step2: Read resistance for $L = 1$ m

By observing the graph, when $L = 1$ m, the resistance $R\approx13$ mΩ (by finding the point on the line at $L = 1$ m and reading the value on the resistance - axis).

Step3: Read resistance for $L = 10$ m

By observing the graph, when $L = 10$ m, the resistance $R = 0$ mΩ (since the line intersects the $L = 10$ m mark on the length - axis at the resistance value of 0).

Answer:

When the length is 1 m, the resistance is approximately 13 mΩ. When the length is 10 m, the resistance is 0 mΩ.