Suppose there are a number of bulbs rated at 220V – 100W each.
How many bulbs can be connected in parallel across a 220V supply
line, if the maximum permissible current is 5A only?
Answers
Answer:
if we are supposing everything then why don't you imagine the answer
please don't report the answer I was joking I am solving will edit my answer
Solution:
As per the given data ,
- Power( P) = 100 W
- Voltage (V) = 220 V
First let us find the resistance of each bulb.
We know that ,
⇒ P = V ² / R
On rearranging ,
⇒ R = V ² / P
⇒ R = 220 x 220 / 100
⇒ R = 22 x 22
⇒ R = 484 Ω
Equivalent resistances for n no of resistances connected in parallel is given by the formula ,
⇒ 1 / Rp = 1 / R 1 + 1 / R 2 + 1 / R 3 .... + 1 / Rn
Consider ,n number of resistors of the same resistance are connected in parallel to each other .
Hence ,
⇒ 1 / Rp = n / R
⇒ Rp = R / n
⇒ Rp = 484 / n
By applying ohm's law ,
⇒ V = I Rp
⇒ Rp = V / I
⇒ Rp = 220 / 5
⇒ 484 / n = 44
⇒ n = 484 / 44
⇒ n = 11
Total number of bulbs connected in parallel is 11 .