Calculating Power Absorbed by a Heater

In summary, power absorbed by a heater refers to the amount of electrical energy converted into heat energy and is measured in watts. It can be calculated by multiplying voltage and current and is affected by factors such as voltage, current, resistance, and environment. The power absorbed directly impacts the heater's performance and can be controlled through various means such as adjusting voltage or using a thermostat.
  • #1
songoku
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Homework Statement


A heater rated at 2000 W operating at 250 V is used on a supply of 230 V. If the resistance of the heater is independent of temperature, calculate the power absorbed by the heater.

Homework Equations


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

The Attempt at a Solution


resistance of heater :

[tex]R=\frac{V^2}{P}=31.25~ \Omega[/tex]

The power absorbed :

[tex]P'=\frac{230^2}{31.25}=1692.8 ~W[/tex]

Do I get it right?

Thanks
 
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  • #2
Yes,
You don't need to actually work out the resistance, you know power is the ratio of the voltage^2
= 2000*(230^2/250^2)

ps. careful about how many significant figures
 
  • #3
Hi mgb_phys

Ok, thanks a lot ! :smile:
 

What is power absorbed by a heater?

Power absorbed by a heater refers to the amount of electrical energy that is converted into heat energy by the heater. It is measured in watts (W) and is an indication of the heater's ability to produce heat.

How is power absorbed by a heater calculated?

Power absorbed by a heater can be calculated by multiplying the voltage (V) by the current (I) flowing through the heater. This is represented by the formula P = VI. The resulting value is the power absorbed by the heater, measured in watts (W).

What factors affect the power absorbed by a heater?

The power absorbed by a heater can be affected by a variety of factors, including the voltage and current supplied to the heater, the resistance of the heater, and the environment in which the heater is operating. These factors can impact the efficiency and effectiveness of the heater in converting electrical energy into heat energy.

How does the power absorbed by a heater impact its performance?

The power absorbed by a heater directly impacts its performance. The higher the power absorbed, the more heat the heater can produce. However, if the heater is not designed to handle high amounts of power, it may overheat and malfunction. Therefore, it is important to consider the power absorbed by a heater when selecting one for a specific application.

Can the power absorbed by a heater be controlled?

Yes, the power absorbed by a heater can be controlled through various means, such as adjusting the voltage or current supplied to the heater, using a thermostat to regulate the temperature, or using a variable resistor to change the resistance of the heater. This allows for more precise control over the amount of heat produced by the heater.

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