**Resistance of a Wire**

To determine the resistance of a conductor, we need to consider the wire's properties such as its length, diameter, and resistance per unit length.

**Given Information:**
- Resistance per 1000 ft: 1 ohm
- Diameter: 0.1 inch

**Step 1: Convert Units**
First, we need to convert the given information into a consistent unit system. Since resistance is typically calculated using the metric system, we will convert the given values to meters.

- 1000 ft = 304.8 meters
- 0.1 inch = 2.54 mm (1 inch = 25.4 mm)

**Step 2: Calculate the Resistance per Unit Length**
To find the resistance per unit length, we divide the resistance by the length of the wire.

Resistance per unit length = 1 ohm / 304.8 m

**Step 3: Calculate the Area of the Wire**
The area of a wire can be calculated using its diameter. The formula for the area of a circle is:

Area = π * (radius)^2

Since the diameter is given, we need to divide it by 2 to get the radius.

- Diameter = 2 * radius
- Radius = Diameter / 2

For the first case, the diameter is given as 0.1 inch, so the radius is 0.05 inch or 1.27 mm.

For the second case, the diameter is given as 40 mils (1 mil = 0.001 inch), so the radius is 20 mils or 0.508 mm.

**Step 4: Calculate the Resistance**
The resistance of a wire can be calculated using the formula:

Resistance = (resistance per unit length) * length / area

For the first case, where the length is 200 ft, we need to convert it to meters.

- 200 ft = 60.96 m

Then, we can calculate the resistance using the given values:

Resistance = (1 ohm / 304.8 m) * 60.96 m / (π * (1.27 mm)^2)

For the second case, where the length is 200 ft and the diameter is 40 mils, we can use the same formula:

Resistance = (1 ohm / 304.8 m) * 60.96 m / (π * (0.508 mm)^2)

Calculating these values will give us the resistance of the wire in each case.