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

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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:

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

where,

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

Substituting the values, we have:

$12 = {(4)}^{2} R$ $12=(4)^2R$

$12 = 16 R$ $12=16R$

$R=12/16=0.75 Omega$

If a current of 4 A4A4 A passing through a circuit generates 12 W12W12 W of power, what is the resistance of the circuit?