Physics · Current Electricity

JEE Main 2024 — 4 April, Shift 1 — Question 53

Twelve wires each having resistance 2Ω2 \Omega are joined to form a cube. A battery of 6 V emf is joined across point a and c . The voltage difference between ee and ff is \qquad V.

Question figure

Answer: 1

Numerical answer — enter this value.

Step-by-step solution

From symmetry, current through e-b & g-d =0=0 ∴Req=34×R=32Ω\therefore \mathrm{R}_{\mathrm{eq}}=\frac{3}{4} \times \mathrm{R}=\frac{3}{2} \Omega

∴\therefore Current through battery =6×23=4 A=\frac{6 \times 2}{3}=4 \mathrm{~A}

i2=48×2=1 A\mathrm{i}_{2}=\frac{4}{8} \times 2=1 \mathrm{~A}

∴ΔV\therefore \Delta \mathrm{V} across e- f=i22×R=12×2=1 V\mathrm{f}=\frac{\mathrm{i}_{2}}{2} \times \mathrm{R}=\frac{1}{2} \times 2=1 \mathrm{~V}

Solution figure

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Exam
JEE Main 2024
Subject
Physics
Chapter
Current Electricity
Topic
Circuit Analysis, Kirchhoff's Law and Nodal Analysis
Twelve wires each having resistance 2 Ω are joined to form a cube. A… | JEE Main 2024 PYQ with Solution · DhiX AI