For t ho node given below find I ho unknown currents using t

For t ho node given below find I ho unknown currents using the currents given: i_1 = 4A, i_2 = 5A, i_3 = ? i_1 = 2A, i_2 = 7A, i_3 = ? i_1 = -6A, i_2 = ?, i_3 = 8A i_1 = ?, i_2 = -7A, i_3 = -3A

Solution

From the Diagram, Apply KCL at junction then

                              i₁+i₂=i₃ -------------(1)

1. i₁= 4A , i₂= 5A then i₃=?

    Ans: From the equation (1), i₃= 4+5 = 9A

2. i₁= 2A , i₂= -7A then i₃=?

    Ans: From the equation (1), i₃= 2-7= -5A

3. i₁= -6A , i₂= ?, i₃= 8A

    Ans: From the equation (1), i₂= i₃-i₁ = 8-(-6) = 14A

4. i₁= ? , i₂= -7A , i₃=-3A

    Ans: From the equation (1), i₁= i₃-i₂ = -3-(-7) = 4A