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

0.75 ohms

When considering the current passing through a circuit and its resistance, the power generated by the circuit is given by:

wherein

When we change the values, we get:

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To find the resistance ( R ) of the circuit, use the formula ( P = I^2R ), where ( P ) is power, ( I ) is current, and ( R ) is resistance.

Given ( P = 12 , \text{W} ) and ( I = 4 , \text{A} ):

( 12 = (4)^2R )

( R = \frac{12}{16} )

( R = 0.75 , \Omega )

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