What is the minimum resistance which can be made using five resistors each of 15 Ω?

A
$25 Ω$
B
$\frac{1}{10} Ω$
C
$\frac{1}{5} Ω$
D
$\frac{1}{25} Ω$

Solution:

The minimum resistance which can be made using five resistors each of

\frac{1}{5} Ω

\frac{1}{25} Ω

.
Given data in the problem,
No. of resistor,

R_{N} = 5

Resistance,

R = \frac{1}{5} Ω

To get the minimum resistance from the given five resistors we have to connect it in parallel. So, that current can pass through each resistor equally.
Equivalent resistance,

R_{eq} = \frac{1}{\frac{1}{5}} + \frac{1}{\frac{1}{5}} + \frac{1}{\frac{1}{5}} + \frac{1}{\frac{1}{5}} + \frac{1}{\frac{1}{5}}

\Rightarrow R_{eq} = \frac{1}{25} Ω

So, the minimum resistance is

\frac{1}{25} Ω

What is the minimum resistance which can be made using five resistors each of $\frac{1}{5} Ω$ ?

Solution:

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