10 resistors each of resistance 10 can be connected in such a way as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be ________. [2023]

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Solution

Q.
10 resistors each of resistance 10 $Ω$ can be connected in such a way as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be ________. [2023]

Ans.
(100)

Maximum resistance occurs

When all the resistors are connected in series combination

$∴$ $R_{\max} = 10 R$

$Here R = 10 Ω$

Minimum resistance occurs

When all the resistances are connected in parallel combination

$R_{\min} = \frac{R}{10}$

$∴$ $\frac{R_{\max}}{R_{\min}} = 100$

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