First slide

combination of resistance

Question

The lowest resistance which can be obtained by connecting 10 resistors each of 1/10 ohm is

Easy

A

$1 / 250 Ω$
B

$1 / 200 Ω$
C

$1 / 100 Ω$
D

$1 / 10 Ω$

Solution

Lowest resistance will be in the case when all the resistors are connected in parallel.
$\begin{array}{l} \frac{1}{R} = \frac{1}{0 .1} + \frac{1}{0 .1} . ...10 times \\ \frac{1}{R} = 10 + 10 ......10 times \\ \frac{1}{R} = 100 or R = \frac{1}{100} Ω \end{array}$

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