Current Electricity - Result Question 38
40. $n$ equal resistors are first connected in series and then connected in parallel. What is the ratio of the maximum to the minimum resistance?
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======= ####40. $n$ equal resistors are first connected in series and then connected in parallel. What is the ratio of the maximum to the minimum resistance?
c3eec34ec6b1fad69db54a20ad4b2dca40c2aa54 (a) $n$
(b) $1 / n^{2}$
(c) $n^{2}$
(d) $1 / n$
[1989]
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Answer:
Correct Answer: 40. (c)
Solution:
- (c) In series, $R_s=n R$
In parallel, $\frac{1}{R_p}=\frac{1}{R}+\frac{1}{R}+\ldots n$ terms
$\therefore R_s / R_p=n^{2} / 1=n^{2}$
