High School

If a toaster is plugged into a source of alternating voltage with an rms value of 51.7 V, and an rms current of 5.33 A occurs in the heating element, what is the power consumed by the toaster? (Assume the resistance of the heating element is fixed.)

Answer :

Final answer:

The power consumed by the toaster is found by multiplying the rms voltage (51.7 V) and the rms current (5.33 A), yielding a power consumption of approximately 275.541 Watts. This represents the average electrical energy the toaster converts into heat per second.

Explanation:

The power consumed by the toaster can be determined by using the formula for power in an electrical circuit, which is power (P) equals current (I) times voltage (V), or P = IV. In this 경우, given the rms voltage, Vrms = 51.7 V, and the rms current, Irms = 5.33 A, we can multiply these values to find the power.

So, the power P consumed by the toaster is: P = Irms * Vrms = 5.33 A * 51.7 V = 275.541 Watts.

This indicates the average electrical energy converted to heat energy by the toaster per second when it is operating. Remember, this calculation assumes that the heating element of the toaster has a fixed resistance.

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