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NEET2022PhysicsCurrent ElectricityActual

The equivalent resistance of the infinite network given below is:

Options

  1. A2
  2. B(1+ 2 )
  3. C(1+ 3 )
  4. D(1+ 5 )

Correct answer

C. (1+ 3 )

Step-by-step solution

Let net resistance of the given infinite network be ' (R ) ' Now, the circuit can be modified as Now, (R_ net =R=1+1+ R R+1 ) ( aligned & R=2+ R R+1 & R^2+R=2 R+2+R & R^2-2 R-2=0 & R= ( 2 4+8 2 ) & R=(1+ 3 ) aligned )

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