Current Flow in Redrawn Circuit for Finding R—Which Diagram Is Correct?

The discussion centers on determining the correct current flow direction in a redrawn circuit used to find an unknown resistance R. The original circuit (Fig:1) was redrawn (2nd Fig) for simplification, but the current direction proposed by the user aligns with that shown in the 3rd Fig. Multiple contributors confirm that the current direction in Fig 3 is correct, noting that the sign of current in circuit analysis indicates direction but does not affect magnitude. The problem involves applying circuit simplification techniques such as Thevenin and Norton equivalents, voltage dividers, and loop analysis. Calculations show R to be approximately 5.38 Ohms. The discussion emphasizes the importance of simplification methods over mesh equations for quick insight and solving, and clarifies that the current direction assignment is a convention that can be corrected by sign interpretation in equations. The user acknowledges unfamiliarity with Thevenin and Norton theorems but recognizes their utility after reviewing the explanations.
Summary generated by the language model.