. A wire of resistance R is cut into ten equal parts which
are then joined in parallel. The new resistance is
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Each part will have a resistance \[r=R/10\] Let equivalent resistance be \[{{r}_{R,}}\]then \[\frac{1}{{{r}_{R}}}=\frac{1}{r}+\frac{1}{r}+\frac{1}{r}...........10\ \text{times}\] \[\therefore \frac{1}{{{r}_{R}}}=\frac{10}{r}=\frac{10}{R/10}=\frac{100}{R}\Rightarrow {{r}_{R}}=\frac{R}{100}=0.01R
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