To determine the total resistance offered by the conductors in a 120V, single-phase circuit that uses 1,200 feet of 1 AWG coated copper wire, we need to consider the resistance per length of the wire.
1 AWG coated copper wire has a known resistance, given as 0.12 ohms per 1,000 feet. To find the total resistance, we need to use this value to calculate the resistance for the given length of wire.
1. Length of the wire: 1200 feet
2. Resistance per 1,000 feet: 0.12 ohms
First, we convert the length of the wire into the same unit as the given resistance is per 1,000 feet.
[tex]\[ \text{Length of wire (in 1,000 feet units)} = \frac{1200 \text{ feet}}{1000 \text{ feet/unit}} = 1.2 \text{ units} \][/tex]
Next, we multiply this by the resistance per unit (1,000 feet) to find the total resistance.
[tex]\[ \text{Total Resistance} = \text{Resistance per 1,000 feet} \times \text{Length in 1,000 feet units} \][/tex]
[tex]\[ \text{Total Resistance} = 0.12 \text{ ohms/unit} \times 1.2 \text{ units} \][/tex]
[tex]\[ \text{Total Resistance} = 0.144 \text{ ohms} \][/tex]
Thus, the total resistance offered by the 1,200 feet of 1 AWG coated copper wire is 0.144 ohms. Comparing this to the given choices:
- OA. 0.369 ohms
- OB. 0.192 ohms
- OC. 0.384 ohms
The calculated resistance of 0.144 ohms does not match any of the provided answers directly, which indicates that there's either an issue with the choices provided or a discrepancy in the problem's information. Based on our calculations, the correct resistance should be 0.144 ohms.
