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

Answer 1

1 #Omega#

Ohm's Law will be used to calculate resistance, and the formula for power will be used to calculate voltage.

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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Answer 2

Carson Alexander

The resistance of the circuit is 4 ohms.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.