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

Respuesta :

Answer:

Heater 2 will give off more heat.

Explanation:

The heat given off by the heaters can be found out by the following formula:

[tex]Q = VIt[/tex]

but, from Ohm's Law:

[tex]V = IR\\\\I = \frac{V}{R}[/tex]

Therefore,

[tex]Q = \frac{V^2t}{R}[/tex]

where,

Q = heat given off by the heater

V = Voltage

t = time

R = Resistance

It is clear from the equation that for a constant voltage and time, the heat given off by the heater is inversely proportional to the resistance of the heater.

Heater 2 will give off more heat.

Therefore, the heater with lower resistance will give off more heat.

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