a number of bulbs of the same power and voltage rating 100W-220V are used in parallel for 4 hours at 250 V .If the energy consumed is 2.5KWh,find the number of bulbs
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The number of bulbs is 160
Given:
- Power rating of each bulb = 100W
- Voltage rating of each bulb = 220V
- Applied voltage = 250V
- Time = 4 hours
- Energy consumed = 2.5KWh
To find:
- Number of bulbs
Answer:
- Let the number of bulbs be n
- We know that for a series connection of bulbs,
- Vseries = V1 + V2 + .... +Vn
- 1/Pseries = 1/P1 + 1/P2 + .... +1/Pn
- Vseries =220n
- Pseries = 100/n
- P = V * I
- I = P/V
- I = (100/n) / 220n
- I = 10/(22n²)
- Now, Energy E = 2.5KWh
- E = P * t
- 2.5 = ( 100/n )* 4
- n = 400/ 2.5
- n = 160
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