Refer to the circuit shown in the figure. Using the current directions I₁, I₂ and I₃ indicated there, what are the values of the three currents?

Question

G1 Physics · Accepted Answer

Using Kirchhoff's voltage law for the three independent loops in the circuit gives -7I₁-2I₂+6I₃+10 = 0, (1) 2I₁+4I₂-4I₃-5 = 0, (2) -I₁+2I₂-6I₃+10 = 0. (3) Solving these simultaneous equations gives I₁ = 2.5 A, I₂ = 1.875 A, I₃ = 1.875 A. Therefore the correct set is I₁ = 2.5 A, I₂ = 1.875 A, I₃ = 1.875 A. Correct option: A.