If the original heater were operated at fewer than 120 volts, the amount of heat produced would

step 1 We have the electric heater that is having a power rating of 4800 watts and is operated on a 120

If the original heater were operated at fewer than 120...

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Key Concepts

Ohm's Law

Ohm's Law relates the voltage, current, and resistance in an electrical circuit by the equation V = IR. This fundamental principle helps in understanding how a change in voltage influences the current flowing through a resistive heater. When the voltage is reduced, the current decreases in proportion, leading to a decrease in the overall electrical power and the corresponding heat output.

Joule Heating

Joule heating is the process by which electrical energy is converted into heat energy in a resistor. According to this concept, the amount of heat generated in a resistive element is proportional to the square of the voltage applied across it, assuming a constant resistance. This relationship is central to understanding how changes in voltage affect the heat output of an electrical heater.

Electrical Power and Voltage Relationship

The electrical power delivered to a resistive heater is given by the formula P = V²/R, which shows that power—and therefore heat production—increases with the square of the voltage. When the voltage decreases, the power output drops significantly, leading to less heat production. This quadratic relationship is key to predicting the performance change when the voltage is altered.

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