To calculate the time it takes for the stove element to consume one unit of energy, we need to determine the energy consumption of the element in kilowatt-hours (kWh). One unit of energy is equivalent to one kilowatt-hour (1 kWh).
The formula to calculate energy consumption is:
Energy (kWh) = Power (kW) × Time (hours)
We are given the current drawn by the stove element, which is 15 amperes (A), and the voltage of the line, which is 230 volts (V).
First, we need to find the power consumed by the stove element in kilowatts (kW). The formula for power is:
Power (kW) = Voltage (V) × Current (A) / 1000
Let's calculate it:
Power (kW) = 230 V × 15 A / 1000 Power (kW) = 3.45 kW
Now, we can find the time (in hours) it takes to consume one unit of energy (1 kWh):
Time (hours) = 1 kWh / Power (kW) Time (hours) = 1 kWh / 3.45 kW Time (hours) ≈ 0.29 hours
So, it takes approximately 0.29 hours (or 17.4 minutes) for the stove element to consume one unit of energy.