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

Explanation

Given three resistances are identical.
Hence, `R_(1) = R_(2) = R_(3) = x` (say)
Total resistance in parallel, `R_(P) = (R )/(3)`
If three identical resistances are connected in parallel, then
`(1)/(R_(P)) = (1)/(R_(1)) + (1)/(R_(2)) + (1)/(R_(3))`
`(1)/(((R )/(3))) = (1)/(x) + (1)/(x) + (1)/(x) implies (3)/(R ) = (1 + 1 + 1)/(x)`
`:. x = R`