# How much power is produced if a voltage of 12 V is applied to a circuit with a resistance of 24 Omega?

Jun 30, 2018

$P = 6 W$

#### Explanation:

There are 3 variations of the power formula:

$P = V \cdot I , \text{ "P = I^2*R, " and } P = {V}^{2} / R$

If you know any one of them, the others are available thru the use of Ohm"s Law and a bit of algebra.

For this problem, use $P = {V}^{2} / R$

$P = {\left(12 V\right)}^{2} / \left(24 \Omega\right) = 6 {V}^{2} / \Omega = 6 W$

I hope this helps,
Steve

Jul 2, 2018

$6$ watts

#### Explanation:

Power in this case is given by the equation:

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

where:

• $P$ is the power in watts

• $V$ is the voltage in volts

• $R$ is the resistance in ohms

So, we get:

$P = {\left(12 \setminus \text{V}\right)}^{2} / \left(24 \setminus \Omega\right)$

$= \frac{144 \setminus {\text{V}}^{2}}{24 \setminus \Omega}$

$= 6 \setminus \text{W}$