# If a current of 8 A passing through a circuit generates 34 W of power, what is the resistance of the circuit?

Mar 4, 2016

The power is dependant on the voltage and the current.
$p = U \times I$ or: Watt=Volt x Ampere

#### Explanation:

$p = U \times I \to U = \frac{p}{I}$
Fill in what we know:
$U = \frac{34}{8} = 4.25 V$

For a this voltage to generate this current the resistance follows Ohm's law:
$R = \frac{U}{I}$ or Ohm=Volt/Ampere
Or:
$R = \frac{4.25}{8} = 0.53125 \Omega \approx 0.53 \Omega$