What would be the BTU output of an electric duct heater at 240VAC with a resistance of 12.77 Ohms?

To determine the BTU output of an electric duct heater at 240VAC with a resistance of 12.77 Ohms, we can start by calculating the power in watts using Ohm’s law and the formula for electric power.

The power (P) in watts can be calculated using the formula:

[ P = \frac{V^2}{R} ]

where V is the voltage (240 volts) and R is the resistance (12.77 ohms).

Substituting in the values:

[ P = \frac{240^2}{12.77} ]

[ P = \frac{57600}{12.77} ]

[ P ≈ 4512.66 , \text{watts} ]

Next, to convert watts to BTUs, we use the conversion factor where 1 watt is approximately equal to 3.412 BTUs per hour. Therefore, to convert the power calculated in watts to BTUs:

[ \text{BTU/hour} = P \times 3.412 ]

[ \text{BTU/hour} ≈ 4512.66 \times 3.412 ]

[ \text{BTU/hour} ≈