Total Current and Energy Consumption Calculation for Household Appliances

a) What is the total current taken from a 230V supply with the given appliances?

a) calculate the total current taken from the supply of 230V.

b) How much energy is consumed in a day if only a quarter of the load is used on average?

b) calculate the energy consumed in a day, if on average only a quarter of the above load.

a) Total Current Calculation

The total current taken from a 230V supply with the given appliances is approximately 10.49 amperes.

b) Energy Consumption Calculation

If on average only a quarter of the load is used, the energy consumed in a day would be approximately 14.478 kilowatt-hours.

Explanation: To calculate the total current taken from a 230V supply, we add up the power consumed by each appliance and convert horsepower to watts for the refrigerator. The calculation is as follows:

- 8 lamps x 100W each = 800W - 3 fans x 80W each = 240W - 1 refrigerator = 0.5hp x 746W/hp = 373W - 1 heater of 1000W

Total power = 800W + 240W + 373W + 1000W = 2413W

Total current (I) = Total power (P) / Supply voltage (V) I = 2413W / 230V ≈ 10.49A

To calculate the energy consumed in a day, assuming only a quarter of the load is used on average:

- Average power = Total power x 0.25 = 2413W x 0.25 ≈ 603.25W - Energy consumed in a day = Average power x 24 hours

E = 603.25W x 24h ≈ 14.478 kWh

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