Three identical resistors are connected in parallel and total resistance of the circuit is R/3. Find the value of each resistance.

Three equal resistors, each of resistance is ‘x’ connected in parallel, the effective resistance is R/3. Then the value of resistance is

$\begin{array}{l}\frac{1}{{\mathrm{R}}_{\text{effective }}}=\frac{1}{\mathrm{x}}+\frac{1}{\mathrm{x}}+\frac{1}{\mathrm{x}}=\frac{3}{\mathrm{x}}\\ \frac{1}{\frac{\mathrm{R}}{3}}=\frac{3}{\mathrm{x}},\frac{3}{\mathrm{R}}=\frac{3}{\mathrm{x}}\mathrm{R}=\mathrm{x}\end{array}$