Calculate the resistance of a 900 watt toaster operating at 120 volts.
Which formula do you use?
To calculate the resistance (R) of the toaster, we can use Ohm's Law, which states that the resistance of a device is equal to the voltage (V) across it divided by the current (I) flowing through it. The formula for Ohm's Law is:
R = V / I
In this case, we are given the power (P) of the toaster, which is 900 watts, and the voltage (V), which is 120 volts. To find the resistance, we need to first determine the current (I) flowing through the toaster.
Power (P) is also related to voltage (V) and current (I) through the equation:
P = V * I
By rearranging the equation, we can solve for I:
I = P / V
Now, we substitute the given values:
I = 900 W / 120 V
I ≈ 7.5 A
We have now found the current flowing through the toaster, which is approximately 7.5 Amperes. Let's substitute this value back into Ohm's Law to find the resistance (R):
R = V / I
R = 120 V / 7.5 A
R ≈ 16 Ohms
The resistance of the toaster is approximately 16 Ohms.