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

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Answer 1 · 2018-06-06T00:23:50

Around $0.17$ $0.17$ ohms.

Power is related with current and resistance through the equation:

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

where:

$I$ $I$ is the current in amperes

$R$ $R$ is the resistance in ohms

So here, we have:

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

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

$=(6 \ "W")/(36 \ "A"^2)$

$~~0.17 \ Omega$

If a current of 6 A6A6 A passing through a circuit generates 6 W6W6 W of power, what is the resistance of the circuit?