If a current of #4 A# passing through a circuit generates #16 W# of power, what is the resistance of the circuit?

1 Answer
Ken C.
Feb 9, 2016

1 #Omega#

Explanation:

We will be using two formulas: the one for power, to calculate voltage, and Ohm's Law, to calculate resistance.

Power is given by: #P=IE#, where #I# is the current and #E# is the voltage. We are given the power (16 watts), and the current (4 amps), and we can use these to get the voltage:
#16=4E#
#16/4=E#
#E=4# volts

Now we use Ohm's Law, which states that #V=IR#, where #V# is the voltage, #I# is current, and #R# is resistance. We have the voltage (4 volts) and current (4 amps), so all we do is substitute:
#4=4R#
#4/4=R#
#R=1# ohm

Therefore, the resistance is 1 #Omega#.

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