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Question

A wire has a resistance of 6Ω.  It is cut into two parts and both half values are connected in parallel. The new resistance is


  1. 6 Ω

  2. 3 Ω

  3. 1.5 Ω

  4. 12 Ω


Solution

The correct option is C

1.5 Ω


Resistance of each part = 3Ω

Since the two parts are joined in parallel, effective resistance is given by

1RP=1R+1RRp=R2=32=1.5Ω

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