1. Calculation for the home theatre:
Power consumption in active mode = 1000 watts
Power consumption in standby mode = 5% of 1000 watts = 50 watts
Energy consumption in active mode per day = 1000 watts x 5 hours = 5000 watt-hours = 5 kWh
Energy consumption in standby mode per day = 50 watts x 19 hours (24 hours - 5 hours active) = 950 watt-hours = 0.95 kWh
Total energy consumption for the home theatre per day = 5 kWh + 0.95 kWh = 5.95 kWh
Total energy consumption for the home theatre for 30 days = 5.95 kWh x 30 days = 178.5 kWh
Calculation for the 50-watt appliance:
Energy consumption in active mode per day = 50 watts x 5 hours = 250 watt-hours = 0.25 kWh
Energy consumption in standby mode per day = 50 watts x 19 hours = 950 watt-hours = 0.95 kWh
Total energy consumption for the 50-watt appliance per day = 0.25 kWh + 0.95 kWh = 1.2 kWh
Total energy consumption for the 50-watt appliance for 30 days = 1.2 kWh x 30 days = 36 kWh
Total energy consumption for both appliances for 30 days = 178.5 kWh + 36 kWh = 214.5 kWh
2. Cost of operating all appliances for 30 days:
Assuming the cost of electricity is $0.10 per kWh
Cost of operating all appliances for 30 days = 214.5 kWh x $0.10/kWh = $21.45
Therefore, the total energy consumed in the house for 30 days is 214.5 kWh and the cost of operating all the appliances for 30 days is $21.45.
A home theatre 1000watt and 50watt are operated each day for 5 hoirs. After which they are kept in standby mode the power consumption in the standby mode is 5%. Calculate
1. The total energy consumed in the house for 30 days.
2. The cost of operating all the appliance for 30 days in kilowatt
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