If a current of 6 A passing through a circuit generates 6 W of power, what is the resistance of the circuit?

Jun 6, 2018

Around $0.17$ ohms.

Explanation:

Power is related with current and resistance through the equation:

$P = {I}^{2} R$

where:

• $I$ is the current in amperes

• $R$ is the resistance in ohms

So here, we have:

$R = \frac{P}{I} ^ 2$

=(6 \ "W")/((6 \ "A")^2)

$= \left(6 \setminus {\text{W")/(36 \ "A}}^{2}\right)$

$\approx 0.17 \setminus \Omega$