At a given time, a house is supplied with 100 A at 220 V. How many 75 W, 220 V light bulb could be switched on in the house at the same time (if they are all connected in parallel)?

(a) 93
(b) 193
(c) 293
(d) 393

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Solution

(c) 293
Total power provided in the house, P = VI = 100 A $\times$ 220 V = 22000 W
This is the maximum power that can be drawn in the house.
Total power drawn by x bulbs = 75x W
∴ Maximum power x bulbs can draw = 22000 W

$\Rightarrow$ 75x = 22000

$\Rightarrow$ x = $\frac{22000}{75} \approx 293$

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At a given time, a house is supplied with 100 A at 220 V. How many 75 W, 220 V light bulb could be switched on in the house at the same time (if they are all connected in parallel)? (a) 93 (b) 193 (c) 293 (d) 393

(c) 293 Total power provided in the house, P = VI = 100 A × 220 V = 22000 W This is the maximum power that can be drawn in the house. Total power drawn by x bulbs = 75x W ∴ Maximum power x bulbs can draw = 22000 W ⇒ 75x = 22000 ⇒x = 2200075≈293

At a given time, a house is supplied with 100 A at 220 V. How many 75 W, 220 V light bulb could be switched on in the house at the same time (if they are all connected in parallel)?

(a) 93
(b) 193
(c) 293
(d) 393

(c) 293
Total power provided in the house, P = VI = 100 A $\times$ 220 V = 22000 W
This is the maximum power that can be drawn in the house.
Total power drawn by x bulbs = 75x W
∴ Maximum power x bulbs can draw = 22000 W

$\Rightarrow$ 75x = 22000

$\Rightarrow$ x = $\frac{22000}{75} \approx 293$