An electric current is passed through a circuit containing two wires of the same material connected in parallel. If the length and radii of the wires are in the ratio `2//3 and 4//3`, then find the ratio of the current passing through the wires

Explanation

`R_(1)/R_(2) = (rho l_(1)//pi r_(1)^(2))/(rho l_(2) // pi r_(2)^(2)) = (l_(1))/(l_(2)) xx r_(2)^(2)/r_(1)^(2) = 2/3 xx (3/4)^(2) = 3/8`
For wires connected in parllel
`V_(1) = V_(2) or I_(1)R_(1) = I_(2)R_(2)or I_(1)/I_(2)=R_(2)/R_(1) = 8/3`