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  • Question
  • A copper wire of radius r and length lhas a resistance of R. A second copper wire with radius 2r and length lis taken and the two wires are joined in a parallel combination. The resultant resistance of the parallel combination of the two wires will be


  • Options
  • A. 5 R
  • B. 5 R/4
  • C. 4 R/5
  • D. R/5

  • Correct Answer
  • R/5 

    Explanation

    1st copper wire: R = pl/A = pl/ ?r2

    2ndcopper wire: R? = p?l?/A? = pl/(4 ?r2) = R/4

    If joined in parallel, (1/Req) = (1/R) + (1/R?)

    = 1/R + 4/R1/Req= 5/R

    Req= R/5

  • Tags: Bank Exams

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