what is the resistance of a light bulb that uses 15 watts of power when placed across a 15-volt battery

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08-02-2016
Computers and Technology

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what is the resistance of a light bulb that uses 15 watts of power when placed across a 15-volt battery

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AL2006 AL2006 · Answer 1 · 2016-02-09T00:06:42+01:00

The power dissipated by a single component is

   Power = (voltage²) / (resistance) .

Multiply each side by resistance:

   Power x resistance = voltage²

Divide each side by Power:

   Resistance = voltage² / power

   = (15V)² / (15W)

   = 225 V² / (15 volt-amp)

   = 15 volt/amp = 15 ohms .