Calculate the resistance of a 900 watt toaster operating at 120 volts.
a) R= 10 ohms
b) R=120 ohms
c) R= 16 ohms
d) R=1.6 ohms
Solve P = 900 = V^2/R
R = V^2/P
200
To calculate the resistance of the toaster, we can use Ohm's Law formula:
Resistance (R) = Voltage (V) / Current (I)
Given that the toaster is operating at 120 volts and the power is 900 watts, we need to find the current first.
We can use the formula:
Power (P) = Voltage (V) * Current (I)
Rearranging the formula, we get:
Current (I) = Power (P) / Voltage (V)
Substituting the given values:
Current (I) = 900 watts / 120 volts
Calculating this:
Current (I) = 7.5 amperes
Now, we can apply Ohm's Law to find the resistance:
Resistance (R) = Voltage (V) / Current (I)
Substituting the values:
Resistance (R) = 120 volts / 7.5 amperes
Calculating this:
Resistance (R) = 16 ohms
Therefore, the resistance of the toaster is 16 ohms.
The correct answer is option c) R=16 ohms.