Current is allowed to pass in a circuit formed by two wires of the same material connected in a parallel combination.The ratio of the lengths and the radii of the two wires are 4:3 and 2:3 respectively, Determine the ratio of the current flowing through the two wires.

Explanation

`R=rho1/A=rho1/(pir^2)`
So,`R_1/R_2=l_1/l_2.(r_2/r_1)^2=4/3times(3/2)^2=3`
In parallel combination the current through a branch is inversely proportional to the resistance of the branch.
`thereforel_1/l_2=R_2/R_1=1/3`
`therefore` Ratio of current flowing through the wires `=l_1:l_2=1:3`.