If a current of $6 A$ $6 A$ passing through a circuit generates $96 W$ $96 W$ of power, what is the resistance of the circuit?

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Answer 1 · 2016-04-05T10:34:30

$R ≅ 2, 67 Ohm$ $R~=2,67 " Ohm"$

$given data:$ $"given data:"$
$current I : 6 A$ $"current I :"6A$
$power P : 96 W$ $"power P :"96W$
$resistance : R = ?$ $"resistance :"R=?$

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

$96 = 6^{2} \cdot R$ $96=6^2*R$

$96 = 36 \cdot R$ $96=36*R$

$R = \frac{96}{36}$ $R=96/36$
$R ≅ 2, 67 Ohm$ $R~=2,67 " Ohm"$

If a current of 6A6 A passing through a circuit generates 96W96 W of power, what is the resistance of the circuit?