Current Electricity - Result Question 28
30. Resistances $n$, each of $r$ ohm, when connected in parallel give an equivalent resistance of $R$ $ohm$. If these resistances were connected in series, the combination would have a resistance in ohms, equal to
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======= ####30. Resistances $n$, each of $r$ ohm, when connected in parallel give an equivalent resistance of $R$ $ohm$. If these resistances were connected in series, the combination would have a resistance in ohms, equal to
c3eec34ec6b1fad69db54a20ad4b2dca40c2aa54 (a) $n R$
(c) $R / n^{2}$
(b) $n^{2} R$
(d) $R / n$
[2004]
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Answer:
Correct Answer: 30. (b)
Solution:
- (b) $R=\frac{r}{n} \Rightarrow r=n R$
When connected in series, $R _{\text{eq }}=n r$ $=n(n R)=n^{2} R$