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Network Elements and the Concept of Circuit

  1. Consider the following circuit:

    What is the current I in the above circuit?
    1. 0 A
    2. 2.05 A
    3. 0.37 A
    4. 1.5 A
Correct Option: C

The given circuit

Applying superposition theorem.
Case 1: When 60V source is taken, the equivalent circuit of the given circuit becomes.

Req = 10 + {20 || (10 + 20 || 10)}

or Req = 10 + 20 ||
50
3

or Req = 10 + 20 ×
50
3
20 +
50
3

=
210
= Ω
11

Ieq =
V
=
60
=
60 × 11
=
22
A
VReq210/112107

Let the current in the branch AB be I1, then
I1 = Iq ×
20
20 +
50
3


or I1 =
22
×
3 × 20
=
12
= = 1.71 A (A to B)
71107

Case 2: When 15 A source is taken, the equivalent circuit of the given circuit becomes.

Let the current in the branch BA be I2.

Where, R1 = (10||20+10)||20
or R1 = 100/7 Ω
IR1 = 15 ×
4
=
15 × 4
4 + 6 + R14 + 6 + 100/7


or IR1 =
15 × 4 × 7
= 2.47 A.
170

and
I2 = IR1 ×
20
20 +
50
3


or I2 =
2.47 × 20 × 3
=1.34A (B→A)
110

Now, I = I1 – I2 = 1.71 – 1.34 = 0.37 A.



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