Question 19 of 31intermediate🔧 ApplyNumerical3 marks

An electric motor takes 5 A from a 220 V line. Determine the power of the motor and the energy consumed in 2 h.

Correct Answer

(Energy) 2.2 kWh

(Power) 1100 W

Exercise: QUESTIONS | Q: 2 | (Chapter: Page 22)
For More Understanding

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

  1. Given: Current, I = 5 A; Voltage, V = 220 V; Time, t = 2 h.

  2. Formula for power: P = V × I.

  3. Calculation of power: P = 220 V × 5 A = 1100 W.

  4. Formula for energy: E = P × t.

  5. Calculation of energy in watt-hours: E = 1100 W × 2 h = 2200 Wh.

  6. Conversion to kilowatt-hours: Since 1 kWh = 1000 Wh, E = 2200 Wh ÷ 1000 = 2.2 kWh.