Question

a uniform wire of resistance r is cut into two equal parts and the pieces are joined in parallel what is the resistance of the combination

Answer 1

R of wire = r ohms

R of each individual cut wire = r/2 ohms

1/Rp = 1/R1 + 1/R2

1/Rp = 2/r + 2/r = 4/r

Rp = r/4 ohms

Therefore resistance of the parallel combination = r/4 ohms

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Answer 2

Answer:

r/4

Explanation:

R of wire = r ohms

R of each individual cut wire = r/2 ohms

1/Req = 1/R1 + 1/R2

1/Req = 2/r + 2/r = 4/r

Req = r/4 ohms

Therefore resistance of the parallel combination = r/4 ohms

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