# How much power is produced if a voltage of 2 V is applied to a circuit with a resistance of 24 Omega?

Feb 16, 2016

$166. \overline{6} \text{ mW}$

#### Explanation:

$P = V \cdot I$ (power equals voltage time current)

$I = \frac{V}{R}$ (current equals voltage divided by resistance)

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

In this case
color(white)("XXX")P=(2V)^2/(24 Omega)=1/6" W" = 166.bar6 mW

$\textcolor{w h i t e}{\text{XXX}}$Note on Units used:
color(white)("XXXXXX")1 " Amp" (A or "Ampere") = (1 V ("volt"))/(1 Omega ("ohm"))

$\textcolor{w h i t e}{\text{XXXXXX")1 " Watt" (W) = 1 V ("volt") xx 1 A ("ampere}}$

$\textcolor{w h i t e}{\text{XXXXXX")1000 " mW" ("milliWatts") = 1 " W" ("Watt}}$