A network contains eight identical 1 ohm resistors labelled R1 to R8 and two ideal cells of emf e1 = 12 V and e2 = 6 V arranged as in the figure. Identify the correct statement(s) about the branch currents.

(A) The current through R1 has magnitude 7.2 A.
(B) The current through R2 has magnitude 1.2 A.
(C) The current through R3 has magnitude 4.8 A.
(D) The current through R5 has magnitude 2.4 A.

Correct answer: (A) The current through R1 has magnitude 7.2 A.

Solution

Solving the two-loop network with Kirchhoff's laws gives I_R1 = 7.2 A, I_R2 = 1.2 A and I_R5 = 2.4 A, so (A), (B) and (D) are correct.

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