How much power is produced if a voltage of 10 V is applied to a circuit with a resistance of 96 Omega?

Apr 20, 2016

$\text{Power" = 100/96 = 50/48 = 25/24"Watts}$

Explanation:

$\text{Power" = "Voltage"*"Current}$
$\text{Power}$ is measured in Watts
$\text{Voltage}$ is measured in Volts
$\text{Current}$ is measured in Amperes.

We want the $\text{Power}$, we have the $\text{Voltage}$ and the $\text{Resistance}$, but we do not have the $\text{Current}$. So, we can find the $\text{Current}$ or just replace it through the $\text{Resistance}$ formula:

$\text{Resistance" = "Voltage"/"Current}$
$96 \Omega = \frac{10 V}{\text{Current" => "Current}} = \frac{10 V}{96 \Omega}$

Now, apply in the $\text{Power}$ formula:
$\text{Power} = 10 \cdot \frac{10}{96}$
$\text{Power" = 100/96 = 50/48 = 25/24"Watts}$