dmwilder3455 dmwilder3455
  • 23-12-2020
  • Engineering
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a 1-w, 350-ω resistor is connected to 24 v. Is this resistor operating within its power rating?

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boffeemadrid
boffeemadrid boffeemadrid
  • 23-12-2020

Answer:

No.

Explanation:

[tex]P_r[/tex] = Power rating = 1 W

R = Resistance = [tex]350\ \Omega[/tex]

V = Voltage = [tex]24\ \text{V}[/tex]

Power is given by

[tex]P=\dfrac{V^2}{R}\\\Rightarrow P=\dfrac{24^2}{350}\\\Rightarrow P=1.65\ \text{W}[/tex]

[tex]1.65\ \text{W}>1\ \text{W}[/tex]

So

[tex]P>P_r[/tex]

Hence, the resistor is not operating within its power rating.

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