Question

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

Answer 1

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`