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