Question

Q 1. Two bulbs 200 W and 100 W are connected across 220 V supply in series. Find the power
consumed by both bulbs.
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Answer 1

Answer:

The power consumed by both bulbs is 67 watts.

Explanation:

Two bulbs are 200 W and 100 W

The two bulbs of 200 W and 100 W are working at 220 V.

Two bulbs are connected to : 200 V supply in series

Power consumed by both the bulb = ??

$\bigstar\:{\boxed{\sf{P_s = \frac{P_1 P_2}{P_1 + P_2}}}}$

• $\sf{P_1}$ = 200 W
• $\sf{P_2}$ = 100 W

$\longrightarrow{\sf{P_s = \dfrac{200 \times 100}{200+ 100}}}$

$\longrightarrow{\sf{P_s = \dfrac{20000}{200+ 100}}}$

$\longrightarrow{\sf{P_s = \dfrac{20000}{300}}}$

$\longrightarrow{\sf{P_s = \dfrac{200}{3}}}$

$\longrightarrow{\sf{P_s \approx \: 67 \: watt}}$

Power consumed ≈ 67 watt

Therefore, the power consumed by both bulbs is 67 watts.

Answer 2

Given :-

Two bulbs 200 W and 100 W are connected across 220 V supply in series.

To Find :-

Power

Solution :-

We know that

$\sf Power_{Total} = \dfrac{P \times P}{P+P}$

Power = 200 × 100/200 + 100

Power = 20000/300

Power = 200/3

Power = 66.66