An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If lengths and radii of the wires are in the ratio of 4 : 3 and 2 : 3 , then ratio of the currents passing through the wires will be

Explanation

we known that
`R prop (l)/(r^(2)) rArr (R_(1))/(R_(2))=(l_(1))/(l_(2))xx(r_(2)^(2))/(r_(1)^(2))=(4)/(2)xx(9)/(4)=(3)/(1)`
Since it is parallel current, inversely proportional to resistance `V=IR`
`R prop (1)/(i), (R_(1))/(R_(2))=(i_(2))/(i_(1))rArr (3)/(1) = (i_(2))/(i_(1))rArr (i_(1))/(i_(2))=(1)/(3)`.