What is the resistance of a 200 ft long wire if it has a resistance of one ohm per 1000 ft?

To determine the resistance of a 200 ft long wire with a resistance of one ohm per 1000 ft, you can use a direct calculation based on the given values. The first step is to figure out how much resistance corresponds to the specific length of the wire.

Since the resistance is given as one ohm for every 1000 ft, you can calculate the resistance for 200 ft by setting up a ratio. For 1000 ft of wire, the resistance is 1 ohm. Therefore, for 1 ft of wire, the resistance would be:

1 ohm / 1000 ft = 0.001 ohm per ft.

Now, to find the resistance for 200 ft, multiply the resistance per foot by the length of the wire:

0.001 ohm/ft * 200 ft = 0.2 ohm.

This means that the resistance of the 200 ft wire is 0.2 ohm. This calculation is straightforward because it directly applies the resistance per unit length to find the total resistance based on the specified length. Thus, the correct answer is indeed 0.2 ohm.