High School

What is the kilowatt output of an electric heater that has an ampere draw of [tex]50 \text{A}[/tex] and a voltage source of [tex]208 \text{V}[/tex]?

Calculate [tex]208 \times 50[/tex] and express the answer in kilowatts, rounded to the thousandths place.

Answer :

Final answer:

The kilowatt output of an electric heater with an ampere draw of 50A and a voltage source of 208V is 10.4 kilowatts.

Explanation:

The power output of an electrical device such as an electric heater can be calculated using the formula P=IV, where P is the power in watts, I is the current in amperes and V is the voltage in volts. In this case, the current, I is 50A and the voltage, V is 208V. So, the power P in watt is calculated by multiplying the current and the voltage which gives P = IV = 50A x 208V = 10400W.

To convert this power to kilowatts, we will divide the power in watts by 1000. This gives us 10.4 kilowatts. Therefore, the power output of the electric heater is 10.4 kilowatts.

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