Calculate the cost of using two LED bulbs each of power 20W for 10 hrs a day @ Rs.5 per unit.
Answers
Given:-
• Power of the LED bulbs = 20 W
• Time for which they are operated per
day = 10 hours
• Cost of per unit = Rs.5
To find:-
• Cost of using the two LED bulbs
Solution:-
We know that :-
Energy = Power × Time
Energy consumed by the two bulbs
in a day :-
= (20 × 10)×2
= 200×2
= 400 Wh
Now, let's convert the energy from Wh to kWh :-
=> 1 Wh = 0.001 kWh
=> 400 Wh = 400(0.001)
=> 0.4 kWh
Hence, cost of using the bulbs :-
= 0.4 × 5
= Rs.2
Thus, the required cost is Rs.2 .
Some Extra Information:-
• The unit kWh is the commercial unit of
energy used by electricity boards.
• If power is in kW (kilowatt) and time is in
hour, then unit of energy is kWh.
• 1 kWh = 1 kW × 1h
= 1000 W × 3600 s
= 3.6×10⁶ J
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★ given :-
- power of each bulb, P = 20 W
- time taken, t = 10hrs per day
- cost of 1 unit of electricity = Rs.5
___________________
★ to find :-
- cost of using two LED bulbs ?
___________________
★ solution :-
☆ Calculation of Electrical Energy Consumed :-
・The electrical energy consumed in kilowatt-hours can be calculated by using the formula:
Energy = Power × time
here,
- power, P = 20W
➪ p = 20/1000 = 0.02 kilowatt-hours
and
- time, t = 10 hours
so, energy consumed by 1 bulb = 0.02 × 10
➪ E = 0.2 kilowatt-hours
And, Energy consumed by 2 bulbs = 2 × 0.2
➪ E' = 0.4 kilowatt-hours
Thus, the total electrical energy consumed is "0.4 kilowatt-hours" or "0.4 units"
_____________________
✩ Calculation of Cost of Electrical Energy :
we have been given that:
・cost of 1 unit of electricity = Rs.5
so, cost of 0.4 units of electricity = Rs.5 × 0.4
➪ Cost = Rs.2