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27 May, 14:14

An electric device uses 650 watts of power. If the voltage is 120 volts, what is the resistance?

A. 78,000 ohms

B. 22 ohms

C. 0.18 ohms

D. 3,500 ohms

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  1. 27 May, 17:36
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    There are several handy-dandy formulas for electrical power.

    Here they are:

    - - Power = (voltage) x (current)

    - - Power = (current²) x (resistance)

    - - Power = (voltage²) x (resistance)

    We just have to pick the one that's most convenient.

    We know the power and the voltage, and we have to find the resistance.

    So we would be smart to use a formula that has power, voltage, and

    resistance in it. The last formula on my list is exactly what we want.

    - - Power = (voltage²) / (resistance)

    650 w = (120 v) ² / (resistance)

    (650 w) x (resistance) = (120 v) ²

    resistance = (120 v) ² / (650 w) = 22.2 ohms.
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