A heater draws a current of 3A from a 220V line. Given the cost of energy from the power company is $0.3 / kWh. Determine the power consumption in W by the heater.
To determine the power consumption in watts (W) by the heater, we can use the formula:
Power (P) = Current (I) x Voltage (V)
Given that the heater draws a current of 3A from a 220V line, we plug in the values:
P = 3A x 220V
P = 660W
Therefore, the power consumption by the heater is 660 watts (W).
Now, if you want to calculate the energy consumption in kilowatt-hours (kWh), you can use the formula:
Energy (E) = Power (P) x Time (t)
Given that the cost of energy from the power company is $0.3 / kWh, we can rearrange the formula to solve for time:
t = Energy (E) / Power (P)
Let's assume you want to calculate the energy consumption for 1 hour of using the heater:
t = 1 hour
So, we can calculate the energy consumption:
E = P x t
E = 660W x 1 hour
E = 660 Wh
Since 1 kilowatt-hour (kWh) is equal to 1000 watt-hours (Wh), we convert:
E = 0.66 kWh
Therefore, the energy consumption by the heater for 1 hour of use is 0.66 kilowatt-hours (kWh).