To find the cross-sectional area of the conductor, we can use the formula for current density:
Current density (J) = Current (I) / Cross-sectional area (A)
We are given the current (I) = 65.5 amp and the average velocity (v) = 0.0153 inches/sec.
First, let's convert the velocity to meters per second (m/s) since the unit of current density is usually expressed in amps per square meter:
1 inch = 0.0254 meters (conversion factor)
Velocity in m/s = 0.0153 inches/sec * 0.0254 meters/inch
Velocity in m/s = 0.00038922 m/s
Now, rearranging the formula for current density:
Cross-sectional area (A) = Current (I) / Current density (J)
Cross-sectional area (A) = 65.5 amp / 0.00038922 m/s
Calculating the cross-sectional area:
A = 168232.55 square meters
Therefore, the cross-sectional area of the conductor is approximately 168,232.55 square meters.