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

Current Electricity

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Answer

As the two lamps are connected in parallel, the voltage across each of them will be the same.

Let I1 be the current drawn by 100 W bulb:

I1 = PV=100220=511 A\dfrac{\text{P}}{\text{V}} = \dfrac{100}{220} = \dfrac{5}{11} \text{ A}

Let I2 be the current drawn by 60 W bulb:

I2 = PV=60220=311 A\dfrac{\text{P}}{\text{V}} = \dfrac{60}{220} = \dfrac{3}{11} \text{ A}

∴ Current drawn from line = I1 + I2

=511+311=5+311=811 A=0.727272 A0.73 A= \dfrac{5}{11} + \dfrac{3}{11} \\[1em] = \dfrac{5 + 3}{11} \\[1em] = \dfrac{8}{11} \text{ A} \\[1em] = 0.727272 \text{ A} \approx 0.73 \text{ A}

Hence, 0.73 A current flows through the line.

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