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?

Question

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? (A) 40A (B) 120A (C) 18A (D) 27A

Tardigrade Admin · Accepted Answer

Power consumed P=P1+P2+P3 .....(i) And P=VI From Equation. (i), we get P1+P2+P3=VI ⇒ (1800 + 1300 + 100) W=(120)I ⇒ 3200=120I I=26.66 A ≈ 27 A

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?

$40 A$

$120 A$

$18 A$

$27 A$

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

Q. An 1800W toaster, a 1.3kW 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. the sum of current drawn by the three devices) through the circuit?

40A

120A

18A

27A