Question:
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 ?
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 ?
Updated On: Mar 28, 2024
- $18\, A$
- $27\, A$
- $40\, A$
- $120\, A$
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The Correct Option is B
Solution and Explanation
Power consume
$P=P_{1}+P_{2}+P_{3}$ ...(i)
and $P=VI$
From E (i), we get
$ P_{1}+P_{2}+P_{3}=VI$
$\Rightarrow (1800+1300+100) Watt =(120) I $
$\Rightarrow 3200 =120I$
$I=26.66\, A$
$\approx 27\, A$
$P=P_{1}+P_{2}+P_{3}$ ...(i)
and $P=VI$
From E (i), we get
$ P_{1}+P_{2}+P_{3}=VI$
$\Rightarrow (1800+1300+100) Watt =(120) I $
$\Rightarrow 3200 =120I$
$I=26.66\, A$
$\approx 27\, A$
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Concepts Used:
Kirchhoff's Laws
Kirchhoffs Circuit Laws allow us to solve complex circuit problems.
Kirchhoff's First Law/ Kirchhoffs Current Law
It states that the “total current or charge entering a junction or node is exactly equal to the charge leaving the node as it has no other place to go except to leave, as no charge is lost within the node“.
Kirchhoff's Second Law/ Kirchhoffs Voltage Law
It states that “in any closed loop network, the total voltage around the loop is equal to the sum of all the voltage drops within the same loop” which is also equal to zero.