If a current of $4 A$ passing through a circuit generates $12 W$ of power, what is the resistance of the circuit?

Question

1672 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-01T12:37:39

0.75 ohms

The power generated by a circuit in terms of the current flowing through it and its resistance is given by:

$P=I^2R$

where,

$P$ is the power generated;
$I$ is the current through the circuit,
and $R$ is the circuit's resistance.

Substituting the values, we have:

$12=(4)^2R$

$12=16R$

$R=12/16=0.75 Omega$

If a current of 4 A4 A passing through a circuit generates 12 W12 W of power, what is the resistance of the circuit?