Two space heaters in your living room are operated at 120 V. Heater 1 has twice

Question

Two space heaters in your living room are operated at 120 V. Heater 1 has twice the resistance of heater 2. Which one will give off more heat (that is, dissipate more energy)?

Heater 1 (resistance 2R).

Heater 2 (resistance R).

Not enough information is provided to answer the question.

Both heaters operate at 120 V so both give off same amount of heat.

Heater 1 (resistance 2R).

Heater 2 (resistance R).

Not enough information is provided to answer the question.

Both heaters operate at 120 V so both give off same amount of heat.

Explanation / Answer

apply the relation between Power P volatge V and resiatcne R as

P = V^2/R

also Power = Energy/time

so Energy is inversly proprtional to Resistance

so

the element with less resisatnce loses more energy

so anser here is heater2, as its resistance 1R

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