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Q. An $1800\, W$ toaster, a $1.3 \, KW$ electric fan and a $100W$ lamp are plugged in the same $120V$ circuit i.e. all the three devices are in parallel. What is the approximate value of the total current (i.e. sum of the current drawn by the three devices) through circuit ?

UPSEEUPSEE 2016

Solution:

Power consume
$P=P_{1}+P_{2}+P_{3}$ ...(i)
and $P=VI$
From Eq. (i), we get
$ P_{1}+P_{2}+P_{3}=VI$
$\Rightarrow (1800+1300+100) Watt =(120) I $
$\Rightarrow 3200 =120I$
$I=26.66\, A$
$\approx 27\, A$