Question 11.. If a wire having resistivity p is cut in 4
pieces, the resistivity of each piece will be
if temperature has been kept constant
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Original resistance = r ohms
After cutting in 4 parts,
Resistance of each part = r/4 ohms
Net resistance when connected in parallel,
1/r' = 4/r + 4/r + 4/r + 4/r
1/r' = 16/r
r' = r/16 ohms
Therefore resistance becomes 1/16 times
Ratio = Resistance of combination: Original Resistance = r':r = r/16:r = 1:16
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