To calculate the amount of energy released by the toaster, we can use the formula for electrical energy:
Energy (in Joules) = Power (in Watts) × Time (in seconds)
First, we need to find the power consumed by the toaster, which can be calculated using the formula:
Power (in Watts) = Current (in Amperes) × Voltage (in Volts)
To find the voltage, we can use Ohm's law:
Voltage (in Volts) = Current (in Amperes) × Resistance (in Ohms)
Let's break down the calculations step by step:
Calculate the voltage: Voltage (in Volts) = 3 Amperes × 65 Ohms Voltage = 195 Volts
Calculate the power: Power (in Watts) = 3 Amperes × 195 Volts Power = 585 Watts
Convert the time to seconds (5 minutes to seconds): Time (in seconds) = 5 minutes × 60 seconds/minute Time = 300 seconds
Calculate the energy: Energy (in Joules) = 585 Watts × 300 seconds Energy = 175,500 Joules
So, the amount of energy released by the toaster in 5 minutes is 175,500 Joules.