Calculating Power Absorbed by a Heater

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SUMMARY

The discussion focuses on calculating the power absorbed by a heater rated at 2000 W operating at 250 V when supplied with 230 V. The resistance of the heater is determined to be 31.25 Ω using the formula R = V²/P. The power absorbed by the heater at the lower voltage is calculated to be 1692.8 W using the formula P' = V²/R. The calculation confirms that the heater operates efficiently despite the voltage difference.

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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


P=\frac{V^2}{R}

The Attempt at a Solution


resistance of heater :

R=\frac{V^2}{P}=31.25~ \Omega

The power absorbed :

P'=\frac{230^2}{31.25}=1692.8 ~W

Do I get it right?

Thanks
 
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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
 
Hi mgb_phys

Ok, thanks a lot ! :smile:
 

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