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An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii are in the ratio of 4/3 and 2/3, then the ratio of the current 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
`rho:` same
In parallel `impliesi_(1)R_(1)=i_(2)R_(2)`
`implies (i_(1))/(i_(2))=(R_(2))/(R_(1))=(rho l_(2)//A_(2))/(rhol_(1)//A_(1))=(l_(2))/(l_(1))xx(r_(1)^(2))/(r_(2)^(2))`
`:. (l_(1))/(l_(2))=4/3` and `(r_(1))/(r_(2))=2/3`
`implies (i_(1))/(i_(2))=1/3`
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