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

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

NTA AbhyasNTA Abhyas 2020Current Electricity

Solution:

Power consumed
$P=P_{1}+P_{2}+P_{3}$ .....(i)
And $P=VI$
From Equation. (i), we get
$P_{1}+P_{2}+P_{3}=VI$
$\Rightarrow \, \, \, \left(1800 + 1300 + 100\right) \, W=\left(120\right)I$
$\Rightarrow \, \, \, 3200=120I$
$I=26.66 \, A$
$\approx 27 \, A$