Question 15
Two lamps, one rated 100 W at 220 V, and the other 60 W at 220 V, are connected in parallel to an electric mains supply. What current is drawn from the line if the supply voltage is 220 V?

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Solution

Both the bulbs are connected in parallel.
Therefore, the potential difference across each of them will be 220 V, because no division of voltage occurs in a parallel circuit.
Current drawn by the bulb of rating 100 W is given by,
$P o w e r = V o l t a g e \times C u r r e n t$
$C u r r e n t = \frac{P o w e r}{V o l t a g e} = \frac{100}{220} A$
Current drawn by the bulb of rating 60 W is given by,
$P o w e r = V o l t a g e \times C u r r e n t$
$C u r r e n t = \frac{P o w e r}{V o l t a g e} = \frac{60}{220} A$
Hence, current drawn from the line = $\frac{100}{220} + \frac{60}{220} = 0.727 A$

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