# How much power is produced if a voltage of 12 V is applied to a circuit with a resistance of 144 Omega?

Feb 17, 2016

$1 \text{Watt}$

#### Explanation:

We can use the formulas $P = I V$ ($\text{Power" = "Current" xx "Voltage}$)
and Ohm's Law ($V = I R$; $\text{Voltage" = "Current" xx "Resistance}$) to find the power from Voltage and Resistance.

In the first equation $P = I V$, we do not have the Current ($I$), so we rearrange Ohm's law into:

$I = \frac{V}{R}$

We substitute this into $P = I V$

$P = \frac{V}{R} \times V$

and we get

$P = {V}^{2} / R$

Now we just substitute the values from the question into the formula:

$P = \frac{12 {V}^{2}}{144 \Omega} = 1 W$

And we can see that the answer is $1 \text{Watt ("W")}$