What is the total DC loop resistance of a 350-foot piece of Series 59 drop cable if its DC loop resistance is 56.04 ohms per 1,000 feet?

To determine the total DC loop resistance of a 350-foot piece of Series 59 drop cable, you start by using the given DC loop resistance per 1,000 feet, which is 56.04 ohms.

First, since we want to find the resistance for 350 feet, we need to calculate the resistance that corresponds to this length. This can be done using a simple proportional relationship. The total resistance for 350 feet can be calculated as follows:

Total resistance (for 350 feet) = (DC loop resistance per 1,000 feet) × (Length in feet / 1,000 feet)

Plugging in the values:

Total resistance = 56.04 ohms × (350 feet / 1,000 feet)

Now, calculate the fraction:

350 / 1,000 = 0.35

Now replace this ratio in the equation:

Total resistance = 56.04 ohms × 0.35 = 19.614 ohms

This results in the total DC loop resistance for the 350-foot cable length as 19.614 ohms, which aligns with the answer selected.

Understanding how to apply proportional reasoning in calculations of resistance based on length is crucial in electrical installations