Question

A 1-w, 350-ω resistor is connected to 24 v. Is this resistor operating within its power rating?

Answer 1

Answer:

No.

Explanation:

$P_r$ = Power rating = 1 W

R = Resistance = $350\ \Omega$

V = Voltage = $24\ \text{V}$

Power is given by

$P=\dfrac{V^2}{R}\\\Rightarrow P=\dfrac{24^2}{350}\\\Rightarrow P=1.65\ \text{W}$

$1.65\ \text{W}>1\ \text{W}$

So

$P>P_r$

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