How to Calculate Total Current and Energy Consumption in a House?

What is the total current taken from the supply of 230V in a house with specific power loads?

(a) Calculate the total current taken from the supply.

How much energy is consumed in a day if only a quarter of the load persists all the time?

(b) Calculate the energy consumed in a day.

Answer:

The total current taken from the supply is 15.75A. The energy consumed in a day is 21.792kWh.

To calculate the total current taken from the supply, we can add up the power ratings of all the appliances and divide by the voltage. The power ratings are: 4 lamps of 100W each = 400W 6 fans of 80W each = 480W 2 refrigerators of 1/2hp each = 736W 2 heaters of 1000W each = 2000W

The total power is 400W + 480W + 736W + 2000W = 3616W. To calculate the current, we use the formula P=IV, rearranged to I=P/V. So the current is I = 3616W / 230V = 15.75A.

To calculate the energy consumed in a day, we can multiply the total power by the time it is used. Since only a quarter of the load persists all the time, we can multiply the total power by 1/4 and then multiply by 24 hours. So the energy consumed in a day is 3616W * 1/4 * 24h = 21792Wh = 21.792kWh.