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An electrician finds that a 1.1 m length of a certain type of wire has a resistance of 0.17 Ω . What is the total resistance of the 119 m of this wire he plans to use? Answer in units of Ω.

Question

An electrician finds that a 1.1 m length of a certain type of wire has a resistance of 0.17 Ω . What is the total resistance of the 119 m of this wire he plans to use? Answer in units of Ω.

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Solution

To solve this problem, we need to use the concept of proportionality. The resistance of a wire is directly proportional to its length, given that the wire is of the same type and thickness.

Step 1: Find the resistance per meter of the wire. We know that 1.1 m of wire has a resistance of 0.17 Ω. So, the resistance per meter is 0.17 Ω / 1.1 m = 0.1545 Ω/m.

Step 2: Calculate the total resistance for 119 m of wire. Now, we can find the total resistance of 119 m of wire by multiplying the resistance per meter by the total length. So, the total resistance is 0.1545 Ω/m * 119 m = 18.3855 Ω.

Therefore, the total resistance of the 119 m of wire is approximately 18.39 Ω.

This problem has been solved

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