The scenario you've described involves connecting two hot plates to a single circuit. Here’s an explanation of why neither hot plate is able to generate enough heat to boil water after the addition of the second hot plate:
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Power Distribution: When you connect two hot plates in the same circuit, the total electrical power supplied from the source gets divided between the two hot plates. Each hot plate receives less voltage (or current depending on the configuration) than it would if it were the only load on the circuit. This reduction in available electrical energy means that each hot plate generates less heat because the power (P) generated is a function of voltage (V) and current (I), as expressed in the formula \( P = V \times I \).
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Increased Load: When you add a second hot plate, you effectively increase the overall load on the circuit. If the power source is not capable of providing enough current to meet the needs of both hot plates simultaneously, both units will operate below their optimal performance levels, resulting in insufficient heat being produced to reach boiling temperatures.
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Inefficiencies: The added resistance in the circuit contributed by the second hot plate may also lead to losses in electrical efficiency, further reducing the heat generated by both hot plates.
Overall, the essential principle at play is that both hot plates are drawing from the same power source, thereby dividing the energy available. Since each hot plate operates best with a certain amount of energy, sharing the supply means neither can reach the energy level necessary to reach boiling temperatures. Consequently, the commitment of electrical energy is split, and this results in a lower average output of heat from both devices.