Question

If n resistance (each R) are connected in parallel then the resultant will be

• A. $nR$
• B. $R/n$
• C. $n^{2}R$
• D. $\text{None}$

Answer 1

Answer: (B)

$R/n$

Equivalent resistance of parallel combination

$\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+.........$

Given, Resistanvce of all resistors $=R$

$\therefore$ $\frac{1}{R_{eq}}=\frac{1}{R}+\frac{1}{R}+\frac{1}{R}+.........n$ terms

OR $\frac{1}{R_{eq}}=\frac{n}{R}$

$⟹$ $R_{eq}=\frac{R}{n}$