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Two lamps, one rated $100 W$ at $220 V$ and the other $200 W$ at $220 V$ , are connected in parallel to the electric supply at $220 V$ the current drawn by the two lamps is [[1]] $A$ .

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Detailed Solution

When two lamps of ratings

100 W

220 V

and

200 W

220 V

are connected in parallel to the electric supply at

220 V

then the current drawn by the two lamps is

1.36 A

.
It is given that two lamps of ratings

100 W

220 V

and

200 W

220 V

are connected in parallel combination with the mains at

220 V

.
Let the lamp with Power,

(P) = 100 W

and potential difference,

V = 220 V

be Lamp

1

.
Let the lamp with Power,
(

P) = 200 W

and potential difference,

V = 220 V

be Lamp

2

.
It is known that the power of the component is given by the relation

P = VI

It can be written as

I = \frac{P}{V}

Where

I, P

and

V

are the current, power and potential difference respectively.
Therefore, the current drawn by lamp

1

\Rightarrow I_{1} = \frac{100}{220}

\Rightarrow I_{1} = \frac{5}{11} A

Similarly, the current drawn by lamp

2

I_{2} = \frac{200}{220}

\Rightarrow I_{2} = \frac{10}{11} A

Therefore, the total current drawn by the two lamps is

I_{1} = I_{1} + I_{2}

\Rightarrow I = \frac{5}{11} + \frac{10}{11}

\Rightarrow I = \frac{15}{11}

\Rightarrow I = 1.36 A

Hence, the current drawn by two lamps is

0.45 A

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