# Two resistors of 5 Ω and 10 Ω are connected in parallel. Eight such sets are connected in series.

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Two resistors of 5 Ω and 10 Ω are connected in parallel. Eight such sets are connected in series.

Find the equivalent resistance of this combination.

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Equivalent resistance of the parallel combination is

R$\frac{r_1\,\times\,r_2}{r_1\,+\,r_2}$

$\frac{5\,\times\,10}{5\,+\,10}$

$\frac{50}{15}$

$\frac{10}{3}\,\Omega$

These eight resistances are connected in series, so

So, the equivalent resistance of the combination is $\frac{80}{3}\,\Omega$