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Question

Physics Question on Kirchhoff's Laws

An 1800W1800\, W toaster, a 1.3KW1.3 \, KW electric fan and a 100W100W lamp are plugged in the same 120V120V 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 ?

A

18A18\, A

B

27A27\, A

C

40A40\, A

D

120A120\, A

Answer

27A27\, A

Explanation

Solution

Power consume
P=P1+P2+P3P=P_{1}+P_{2}+P_{3} ...(i)
and P=VIP=VI
From E (i), we get
P1+P2+P3=VIP_{1}+P_{2}+P_{3}=VI
(1800+1300+100)Watt=(120)I\Rightarrow (1800+1300+100) Watt =(120) I
3200=120I\Rightarrow 3200 =120I
I=26.66AI=26.66\, A
27A\approx 27\, A