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Question

The power P, in watts, of an electrical circuit varies jointly as the resistance R and the square of the current I. For a 240watt refrigerator that draws a current of 2 amperes, the resistance is 60 ohms. What is the resistance of a 600watt microwave oven that draws a current of 5 amperes?

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Solution

It is given that the power P varies jointly as the resistance R and the square of the current I and P=240 watt when R=60 ohms and I=2 amperes, therefore,

P=kRI2240=k×60×(2)2240=k×60×4240k=240k=240240=1

Thus, the general equation is P=RI2.

Since P=600 watt and I=5 amperes, therefore,

P=RI2600=R(5)225R=600R=60025=24

Hence, the resistance of a 600 watt microwave oven that draws a current of 5 amperes is24 ohms.

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