Question

if R is any resistance and it is divided into 10 equal parts find the minimum resistance which can be obtained from these parts

Answer 1

If R is divided in 10 equal parts , then Resistance of an individual part will be R / 10.

Minimum resistance can be obtained only if each part is connected in parallel...

Minimum Resistance
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Let Rp be an equivalent resistance
1/Rp = 1/R +1/R + 1 /R +1/R +1/R + 1 /R + 1/R +1/R + 1 /R+1/R
= (1+1+1+1+1+1+1+1+1+1) / R
= 10 / R
=> Rp = R / 10