# How much power is produced if a voltage of 3 V is applied to a circuit with a resistance of 54 Omega?

Jun 9, 2018

$\frac{1}{6} \setminus \text{Watt}$

#### Explanation:

Power produced is given by

$\text{P" = "V"^2/"R}$

color(white)("P") = ("3 volt")^2/"54 Ω"

color(white)("P") = 1/6\ "Watt"

Jun 9, 2018

Approximately $0.17$ watts.

#### Explanation:

Power is related through voltage and resistance by the equation:

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

where:

• $V$ is the voltage in volts

• $R$ is the resistance in ohms

So, we get:

$P = {\left(3 \setminus \text{V}\right)}^{2} / \left(54 \setminus \Omega\right)$

$= \frac{9 \setminus {\text{V}}^{2}}{54 \setminus \Omega}$

$\approx 0.17 \setminus \text{W}$