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Six equal resistances are connected between points P , Q and R as shown in figure. Then net resistance will be maximum between :

Options

  1. AP and R
  2. BP and Q
  3. CQ and R
  4. DAny two points

Correct answer

B. P and Q

Step-by-step solution

Resistance between P and Q r_ PQ =r₁₁ ( r 3 + r 2 )= r 5 6 r r+ 5 6 r = 5 11 r Resistance between Q and R r _ QR = r 2 11 ( r + r 3 )= r 2 4 3 r r 2 + 4 3 r = 4 11 r Resistance between P and R r _ PR = r 3 l ( r 2 + r )= r 3 3 2 r r 3 + 3 2 r = 3 11 r Hence, it is clear that r _ PQ is maximum

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