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 14 k resistor is 6.0 W , what is the maximum current it can carry without damage?

Express your answer using two significant figures

Imax=______________A

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.

Vmax=_______________V

Part C

If a 8.6 k resistor is to be connected across a 120 V potential difference, what power rating is required for that resistor?

Express your answer using two significant figures.

P=______________W

Explanation / Answer

here,

A)

resistance , r = 14 kohm = 14000 kohm

power , P = 6 W

maximum current be I

P= I^2 * R

6 = I^2 * 14000

I = 0.02 A

B)

let the maximum potential difference be V

P = V^2 /r

6 = V^2 /14000

V = 289.83 V

C)

resistance , r = 8.6 kohm

r = 8600 ohm

potential difference , V = 120 V

power , P = V^2 /R

P = 120^2 /8600

P = 1.67 W

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