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What current is drawn from the line if the supply voltage is $220 V$ . When the two lamps are rated $100 W$ at $220 V,$ and the other $60 W$ at $220 V$ are connected parallel to the electric mains supply?

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0.45 A

0.27 A

0.72 A

None

answer is C.

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Detailed Solution

0.727 A

current is drawn from the line if the supply voltage is

220 V

. When the two lamps are rated

100 W

220 V,

and the other

60 W

220 V

are connected parallel to the electric mains supply Given,

Potential difference (V) = 220 V

Lamp 1 power (

P_{1}

)

= 100 W

Lamp 2 power (

P_{2}

)

= 60 W

As both the bulbs are connected in parallel. So, there is no voltage division in a parallel circuit, the potential difference across each of them will be

220 V .

Now power is defined as,

P = V I

[

P = Power]

;

I = current flowing]

\Rightarrow I = \frac{P}{V}

………………. (i)
Lamp 1:

I_{1} = \frac{P_{1}}{V}

[

I_{1} = current flowing across Lamp 1]

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

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

……………….. (ii)
Lamp 2:

I_{2} = \frac{P_{2}}{V}

[

I_{2} = current flowing across Lamp 2]

I_{2} = \frac{60}{220}

I_{2} = \frac{3}{11}

A ………………… (iii)
Net current

(I) = I_{1} + I_{2}

……………….. (iv)
Put values of equation (ii) and (iii) in (iv) we gat,

I = \frac{5}{11} + \frac{3}{11}

I = \frac{8}{11}

I = 0.7273 A

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