# If a current of 4 A passing through a circuit generates 64 W of power, what is the resistance of the circuit?

Mar 7, 2018

The resistance is $= 4 \Omega$

#### Explanation:

The current is $I = 4 A$

The power is $P = 64 W$

The power is

$P = U I$

and Ohm's Law is

$U = R I$

Therefore,

$P = U I = R \cdot I \cdot I = R {I}^{2}$

$R = \frac{P}{I} ^ 2 = \frac{64}{4} ^ 2 = 4 \Omega$