What is the total cost per year for power loss of a conductor with a current of 16A?

• A. $50.00
• B. $71.76
• C. $60.00
• D. $80.00

Answer: (B)

To determine the total cost per year for power loss in a conductor carrying a current of 16A, we must first calculate the power loss due to the resistive heating in the conductor, known as I²R losses, where I is the current and R is the resistance of the conductor.

Once we have calculated the power loss in kilowatts (kW), we can multiply this by the hours of operation per year (typically 8,760 hours for continuous operation) and the cost of electricity per kilowatt-hour (kWh).

Assuming the resistance value and the rate of electricity is in a typical range, this will lead to a specific calculation. If we consider reasonable resistance values and electricity costs, arriving at a total yearly cost of $71.76 points to the specific combination of resistance and cost per kWh that aligns well with practical scenarios.

Choosing this answer suggests a thorough understanding of how to derive costs from power loss and highlights the importance of resistance in electrical systems. The calculations must take into account all relevant factors, particularly how current impacts overall power loss and subsequent costs in a real-world setting.