30 bulbs are connected in series 1 bulb fused. remining 29 bulbs are connected in series. What is the brightness of 29 bulbs
Answers
Answer:
Let power and voltage of each bulb are P and V respectively.
Then, resistance of each bulb is R = V²/P
Case 1:- When all the bulbs are connected in series then, equivalent resistance of circuit is given by Req = R + R + R + Upto 30 terms
Req = 30R = 30V²/P
current passing through each bulb is i₁ = E/Req = E/30V²/P = PE/30V² -----(1)
Here E is the potential difference of circuit.
Case2:- Now, a bulb is fused. And 29 bulbs are connected in circuit.
So, equivalent resistance of 29 bulbs in series combination,
Req = R + R + R + Upto 29 terms
Req ' = 29R = 29V²/P
Current passing each bulb is i₂ = E/29V²/P = PE/29V² -----(2/
What we observed ? From case 1 and case 2 i₂ > i₁
e.g., current flow through each bulb is higher than initial.
Means power out put = i²R will be higher
Hence, room's light increased .
Explanation: