Question

What is the minimum resistance wchich can be made using 5 resisyors each kf 1/5 ohm​

Answer 1

⇒You know, equivalent resistance decreases when resistors are joined in parallel.

e.g., 1/Req = 1/R₁ + 1/R₂ + 1/R₃ + 1/R₄ + ....... + 1/Rn . While equivalent resistance increases when resistors are joined in series e.g., Req = R₁ + R₂ + R₃ + .... + Rn.

it Means, we can get minimum resistance when all the given resistors will join in parallel. And we can get maximum resistance when all the resistors will join in series .

∴ for finding minimum resistance , we have to join all resistors in parallel.

So , 1/Req = 1/(1/5) + 1/(1/5) + 1/(1/5) + 1/(1/5) + 1/(1/5)

1/Req = 5 + 5 + 5 + 5 + 5 = 25

Req = 1/25 Ω

Hence , minimum resistance = 1/25 Ω

Answer 2

Answer:

Miminimum resistance can be obtained through parallel connection of resistors.

Rp= R/n

where n= no of equal resistors

Rp = 1/5x5

Rp = 1/25 ohms

HOPE IT HELPS!!!

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