A device consumes 100w of power when connected to a 120v source. Calculate it's resistance.
To calculate the resistance of a device, you can use Ohm's Law. Ohm's Law states that the current passing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them.
Ohm's Law formula:
V = I * R
Where:
V = voltage (in volts)
I = current (in amperes)
R = resistance (in ohms)
We have the power (P) and voltage (V) of the device. The formula to calculate power is:
P = V * I
Where:
P = power (in watts)
V = voltage (in volts)
I = current (in amperes)
We can rearrange the formula for power to solve for current:
I = P / V
Substituting the given values, we get:
I = 100W / 120V = 0.833 A
Now we can use Ohm's Law to calculate the resistance:
R = V / I
R = 120V / 0.833 A
Therefore, the resistance of the device is approximately 144 ohms.