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 1000WTotal 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 hoursE = 603.25W x 24h ≈ 14.478 kWh