How much power is produced if a voltage of #12 V# is applied to a circuit with a resistance of #144 Omega#?

1 Answer
Feb 17, 2016

#1 "Watt"#

Explanation:

We can use the formulas #P = IV# (#"Power" = "Current" xx "Voltage"#)
and Ohm's Law (#V = IR#; #"Voltage" = "Current" xx "Resistance"#) to find the power from Voltage and Resistance.

In the first equation #P = IV#, we do not have the Current (#I#), so we rearrange Ohm's law into:

#I = V/R#

We substitute this into #P = IV#

#P = V/R xx V#

and we get

#P = V^2/R#

Now we just substitute the values from the question into the formula:

#P = (12V^2)/(144Omega) = 1W#

And we can see that the answer is #1 "Watt ("W")"#