A piece of wire of resistance is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is , what is the ratio ?

Answer and explanation

Correct answer: B.

  1. Step 1: When cut into 5 equal parts, the resistance of each piece is .
  2. Step 2: When 5 identical resistors of resistance are connected in parallel, .
  3. Step 3: Therefore, , which implies the ratio .
Answer
.
Why not the others: is the reciprocal of each piece; divides once; and is the inverted ratio .

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