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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

`8//9`

B

`1//3`

C

`3`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
B

`R_1 = (rho l_(1) )/( pi r_(1)^(2) ) , R_(2) = (rho l_(2) )/( pi r_(2)^(2))`
`i_(1) R_(1) = i_(2) R_(2)` (same potential difference)
`therefore (i_1)/(i_2)= (R_2)/( R_1) = (l_2)/(l_1) xx (r_(1)^(2))/(r_(2)^(2))= (3)/(4) xx (4)/(9) = (1)/(3)`
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Knowledge Check

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

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