How much power is produced if a voltage of #12 V# is applied to a circuit with a resistance of #288 Omega#?

1 Answer
May 15, 2018

I got #0.5W#

Explanation:

We know that Power is Work/Energy transformed in one second.
In terms of Electricity we know that Power #P# is:

#P=VI#

this tells us that Voltage, #V#, which is the energy transported per charge (#E/q#) is multiplied by the Current #I#, which is charge passing each second (#q/t#).
So we get:

#Power=VI="Energy"/cancel("Charge")*cancel("Charge")/"Time"="Energy"/"Time"#

we can now use Ohm's Law #V=RI# that can be written as:

#I=V/R# and substituted into the Power to get:

#P=VI=VV/R=V^2/R=(12)^2/288=0.5W#