a 1200W machine operates at 120V. what is the resistance of the machine?
Use the formula
P = V^2/R
and solve for R.
R will be in ohms
To find the resistance of the machine, we can use Ohm's Law, which states that the resistance (R) is equal to the voltage (V) divided by the current (I).
First, let's find the current (I) using the power (P) and voltage (V) of the machine. The formula to find the current is I = P / V.
Given that the power (P) is 1200W and the voltage (V) is 120V, we can substitute these values into the formula:
I = 1200W / 120V
Calculating this:
I = 10A
Now that we have the current (I), we can find the resistance (R) using Ohm's Law:
R = V / I
Substituting the values:
R = 120V / 10A
Calculating this:
R = 12Ω
Therefore, the resistance of the machine is 12 ohms.