A) \[{{n}^{2}}R\]
B) \[R/{{n}^{2}}\]
C) R/n
D) nR
Correct Answer: A
Solution :
| [a] Equivalent resistance of n resistances each of r ohm in parallel is given by |
| \[\frac{1}{R}=\frac{1}{r}+\frac{1}{r}+.................+n\] times \[=\frac{n}{r}\] |
| so, \[r=nR\] |
| When these resistances are connected in series, effective resistance is |
| \[R'=r+r+........+n\] times \[=nr\] |
| \[\therefore \] \[R'=n\,(nR)={{n}^{2}}R\] |
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