A 50 V source is applied across terminals A and B. Top branch contains 1 Ω followed by 2 Ω; bottom branch contains 3 Ω followed by 4 Ω; the two middle junctions C and D are connected by a wire. Find current in the short link CD. Image
Options

Question

A 50 V source is applied across terminals A and B. Top branch contains 1 Ω followed by 2 Ω; bottom branch contains 3 Ω followed by 4 Ω; the two middle junctions C and D are connected by a wire. Find current in the short link CD. Image

Options

G1 Physics · Accepted Answer

Step 1: Because C and D are shorted, the left pair 1 Ω and 3 Ω are in parallel; the right pair 2 Ω and 4 Ω are in parallel. Step 2: Left equivalent Rₗ = 1×3/(1+3) = 3/4 Ω; right equivalent Rᵣ = 2×4/(2+4) = 4/3 Ω. Step 3: Total R = 3/4 + 4/3 = 25/12 Ω. Total current I = 50/(25/12) = 24 A. Step 4: Left-section voltage Vₗ = I Rₗ = 24×3/4 = 18 V; right-section voltage Vᵣ = 24×4/3 = 32 V. Step 5: Currents: 1 Ω branch = 18/1 = 18 A; 2 Ω branch = 32/2 = 16 A. Step 6: Kirchhoff current law at C: 18 A e…