Kirchhoff's Current Law/Answers

Model Answer

From The Diagram

From Node b we get:

V_b = − V₁ = − 15V

From Node d we get:

V_d = V₂ = − 7V

It is clear that we must solve V_c, in order to complete Voltage definitions at all nodes. V_c will be found by applying KCL at Node c and solving resulting equations Follows:

i₃ = i₁ + i₂

We can group like terms to get the following equation:

Substitute values into previous equations you get:

Vc(0.35) =  − 2.15   thus   Vc =  − 6.14V

Thus now we can calculate Current through R₃ as follows:
.

Thus the effective current through R₃ is in opposite direction to i₃ Just as we expected!