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An electric current is passed through a ...

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

A

3

B

`1//3`

C

`8//9`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
`R_(1)/R_(2) = l_(1)/A_(1) xx A_(2)/l_(2)`

`rArr R_(1)/R_(2) = 4/3 xx (r_(2)/r_(1))^(2)`
`rArr R_(1)/R_(2) = 4/3 xx 9/4 rArr R_(1) = 3R_(2)`
Since, `I prop 1/R`
`I_(1)/I_(2) = 1/3`
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