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JEE Main 2022 · 26 Jun · Shift 2, Physics question 41

The equivalent resistance between points A and B in the given network is :

A ladder of nodes around a polygon from A to B: A-P 5 Ω, P-Q 5 Ω, Q-R 5 Ω, R-S 5 Ω, S-B 5 Ω, and A-B 10 Ω along the base; 10 Ω resistors also join A directly to Q, to R and to S.
Choose one option
Answer and worked solution

Official answer: C

Collapse step by step (name the outer nodes P, Q, R, S between A and B).

  • A-P-Q: 5+5=10 Ω5+5=10\ \Omega, in parallel with A-Q 10 Ω10\ \Omega: 5 Ω.
  • Add Q-R 5 Ω: 10 Ω, in parallel with A-R 10 Ω: 5 Ω.
  • Add R-S 5 Ω: 10 Ω, in parallel with A-S 10 Ω: 5 Ω.
  • Add S-B 5 Ω: 10 Ω, in parallel with A-B 10 Ω: 5 Ω.

(C)

Topics:Series and parallel resistors
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