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The resistance of the following circuit figure between A and B is

Options

  1. A3 2   Ω
  2. B2 Ω
  3. C4 Ω
  4. D8 Ω

Correct answer

A. 3 2   Ω

Step-by-step solution

Since resistance connected in arms CE , ED , CF and FD will form a balanced Wheatstone bridge, therefore, the resistance of arm EF becomes ineffective. Now resistance of arm CED or CFD = 2 + 2 = 4 Ω Effective resistance of these two parallel arm = 4 × 4 4 + 4 = 2 Ω Now resistance of arm ACDB = 2 + 2 + 2 = 6 Ω in parallel with resistance arm AB = 2 Ω Thus, effective resistance between A and B = 6 × 2 6 + 2 = 3 2 Ω

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