Question

What is the minimum resistance which can be made using 5 resistors each of 1/5ohm?
1. 1/5 ohm
2. 10ohm
3. 5ohm
4. 1ohm​

Answer 1

Option-d(1ohm)

Verification:-

Connect all resistors in series

$\boxed{\sf R=R_1+R_2+R_3\dots}$

$\\ \sf\longmapsto R=\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{5}$

$\\ \sf\longmapsto R=\dfrac{1+1+1+1+1}{5}$

$\\ \sf\longmapsto R=\dfrac{5}{5}$

$\\ \sf\longmapsto R=1\Omega$