An electric motor takes 5 A from a 220 V line. Determine the power of the motor and the energy consumed in 2 h.
(Energy) 2.2 kWh
(Power) 1100 W
Explanation
The power of an electric appliance is given by P = VI, as shown in Example 11.12. The energy consumed is the product of power and time, as illustrated in the refrigerator example. The context also defines kilowatt-hour as the commercial unit of energy, where 1 kWh = 1000 Wh. Therefore, after calculating power, we multiply by time (2 hours) to get energy in watt-hours and then convert to kilowatt-hours.
Solution Steps
Given: Current, I = 5 A; Voltage, V = 220 V; Time, t = 2 h.
Formula for power: P = V × I.
Calculation of power: P = 220 V × 5 A = 1100 W.
Formula for energy: E = P × t.
Calculation of energy in watt-hours: E = 1100 W × 2 h = 2200 Wh.
Conversion to kilowatt-hours: Since 1 kWh = 1000 Wh, E = 2200 Wh ÷ 1000 = 2.2 kWh.