The power rating of a resistor is the maximum power it can safely dissipate with

Question

The power rating of a resistor is the maximum power it can safely dissipate without being damaged by overheating.

Part A

If the power rating of a certain 13k? resistor is 6.0W , what is the maximum current it can carry without damage?

Express your answer using two significant figures.

Part B

What is the greatest allowable potential difference across the terminals of the resistor in part A?

Express your answer using two significant figures.

Part C

If a 9.6k? resistor is to be connected across a 120V potential difference, what power rating is required for that resistor?

Express your answer using two significant figures.

Explanation / Answer

a) P = I^2 R

I = sqrt(P/R) = sqrt(6/13.0E3)=0.022 A

b) V = I R = 0.022*13.0E3= 286 V

c) P = V^2/R = 120^2/9.6E3= 1.5W

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