For the resistance network shown with 4 Ω, 2 Ω, 4 Ω, 6 Ω and 3 Ω, find the current i drawn from a battery of voltage V: [Diagram: Image]
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Question

For the resistance network shown with 4 Ω, 2 Ω, 4 Ω, 6 Ω and 3 Ω, find the current i drawn from a battery of voltage V: [Diagram: Image]

G1 Physics · Accepted Answer

Step 1: Upper-left 4 Ω and upper-right 2 Ω form a 6 Ω series path. Step 2: Bottom-left 6 Ω and bottom-right 3 Ω form a 9 Ω series path; the middle 4 Ω links the junctions. Step 3: Use Δ–Y conversion or node potentials to find R(eq) = 35/9 Ω; current i=V/R(eq) = 9V/35.