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

Options

A. `(1)/(3)`
B. `(3)/(1)`
C. `(4)/(3)`
D. `(3)/(4)`

Answer

A

Explanation

`V-iR` `V=` constant
`i_(1)R_(1)=i_(2)R_(2)`
`(i_(1))/(i_(2))=(R_(2))/(R_(1))`
`thereforeRprop(l)/(A)`