Two wires of same material having lengths and radii in the ratio of 3 : 4 and 3 : 2 respectively are connected in parallel with a potential source of 6V.
the ratio of currents flowing through them `I_(1) : I_(2) ` = ..... .

Options

A. `1:3`
B. `3:1`
C. `1:2`
D. `2:1`

Answer

B

Explanation

`I_(1) =3l =, I_(2) = 4l`
`r_(1) =3r, r_(20 = 2r`
`R_(1)/R_(2) =((3l)/(4l)) xx ((2r)/(3r))^(2) rArr 3/4 xx 4/9 = 1/3`
`R_(2) = 3R_(1)`
`I_(1) : I_(2) = 3:1`