Question

Resistance $n$, 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

• A. $n^2 R$
• B. $R/ n^2$
• C. $R/n$
• D. $n R$

Answer 1

Answer: (A)

$n^2 R$

Answer 2

According to question $R =\frac{ r }{ n }$
$\Rightarrow r = nR$
$R _{\text {series }}= nr = n ^{2} R$