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JEE Main20199 Apr 2019Morning ShiftPhysicsCurrent ElectricityActual

A wire of resistance R is bent to form a square A B C D as shown in the figure. The effective resistance between E and C is: ( E is mid-point of arm C D )

Options

  1. AR
  2. B7 64 R
  3. C1 16 R
  4. D3 4 R

Correct answer

B. 7 64 R

Step-by-step solution

If the resistance of the wire is R , then each arm of the square has a resistance of R 4 . Accordingly. The resistance of segments DE and EC are R DE = R EC = R 8 . We can draw the resultant circuit as follows: Hence, 1 R e q = 8 R + 8 7 R 1 R e q = 56 + 8 7 R R e q = 7 R 64

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