Determine currents in the circuits, Electrical Engineering

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Determine 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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