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A tv has a power of 110 watts and an efficiency of 75 percent. How much power is wasted as heat ?


A.4.4w
B.82.5w
C.27.5w
D. 1.5w

Respuesta :

The power wasted as heat is C) 27.5 W

Explanation:

The efficiency of a device is defined as

[tex]\eta = \frac{P_{out}}{P_{in}}\cdot 100[/tex]

where

[tex]P_{out}[/tex] is the useful power in output

[tex]P_{in}[/tex] is the power in input

For the tv in this problem, we have

[tex]P_{in} = 110 W[/tex]

[tex]\eta = 75[/tex] (efficiency is 75%)

Therefore, the useful output power is

[tex]P_{out} = \frac{\eta}{100}P_{in} = \frac{75}{100}(110)=82.5 W[/tex]

And so, the power wasted as heat is the difference between the power in input and the useful power in output:

[tex]P_{heat}=P_{in} - P_{out}=110-82.5=27.5 W[/tex]

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