Evaluate currents in the circuits, Electrical Engineering

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Evaluate currents in the circuits:

Determine currents I1 and I2 in the given circuits by applying KVL.

Solution

We apply KVL for first loop :

10 = 1 I1  + 1 ( I1  - I 2 )

10 = 2 I1  - I 2 ---------- (i)

KVL for second loop :

1 ( I 2  - I1 ) + 4 I 2  = 0

5 I 2  - I1  = 0                   --------- (ii)

∴          I2  =   I1 /5 = 0.2 I1                  --------- (iii)

Put the value of I2 in Eq. (i)

10 = 2 I1  - 0.2 I1  = 1.8 I1

⇒         I1  = 5.55 Amp

From Eq. (iii), I2  = 1.11 Amp .


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