At a given time, a house is supplied with 100A at 220V.How many
75 W, 220 V light bulbs could be switched on in the house at the same time
(if they are all connected in parallel)?
Answers
Given that, current (I) = 100A, voltage (V) = 220V.
We have to find how many 75 W, 220 V light bulbs could be switched on in the house at the same time.
Also given that, all are connected in parallel. (Means, the voltage across the bulbs is same)
P = VI
P = 220(100)
P = 22000 W
Bulbs are rated at 75W per bulb.
Now,
Total number of bulbs = 22000/75 = 293.3
(Approx.) 293 bulbs could be switched on in the house at the same time.
In the given time,
Total current(I) = 100 A
Total voltage(V) = 220 V
Total power supplied(P) = VI
⇒P = 100*220
⇒P = 22000 W
rating of each bulb = 75 W, 220 V
Power consumed by each bulb = 75 W
Total number of bulbs that could be switched on in the house at the same time = 22000/75
= 293.34
∴ So, total number of bulbs that could be switched on in the house at the same time are 293.