The resistance of a bagel toaster is 15 Ω. To prepare a bagel, the toaster is operated for one minute from a 120-V outlet. How much energy is delivered to the toaster?
To calculate the amount of energy delivered to the toaster, we need to use the formula:
Energy (in joules) = Power (in watts) × Time (in seconds)
First, we need to calculate the power consumed by the toaster. The formula for power is:
Power (in watts) = (Voltage (in volts))^2 / Resistance (in ohms)
Given:
Resistance (R) = 15 Ω
Voltage (V) = 120 V
Now, let's calculate the power:
Power (in watts) = (120 V)^2 / 15 Ω
Power (in watts) = 14400 V^2 / 15 Ω
Power (in watts) = 960 W
We know that the toaster was operated for one minute, which is equal to 60 seconds.
Now, let's calculate the energy delivered:
Energy (in joules) = Power (in watts) × Time (in seconds)
Energy (in joules) = 960 W × 60 s
Energy (in joules) = 57600 J
Therefore, the amount of energy delivered to the toaster is 57600 joules.