A wire of resistance $R$ is divided in $10$ equal parts. These parts are connected in parallel, the equivalent resistance of such connection will be
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(a) Each part will have a resistance $r = R/10$
Let equivalent resistance be ${r_{R,}}$
then $\frac{1}{{{r_R}}} = \frac{1}{r} + \frac{1}{r} + \frac{1}{r}$ ........... $10\;{\rm{times}}$
$\therefore \frac{1}{{{r_R}}} = \frac{{10}}{r} = \frac{{10}}{{R/10}} = \frac{{100}}{R} \Rightarrow {r_R} = \frac{R}{{100}} = 0.01\,R$
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