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Two metallic wires P(1) & P(2) of the s...

Two metallic wires `P_(1) & P_(2)` of the same material & same length but different cross sectional areas `A_(1) & A_(2)` are joined together & connected to a source of emf. Find the ratio of the drift velocities of free electrons in the two wires when they are connected in parallel.

Text Solution

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In paralle the potential difference is same but the circuits are different.
`V=I_(1)R_(1)= nA_(1)ev_(d_(1)) xx(rhol)/(A_(1))=n_(1)e rhov_(d_(1))l`
`V=I_(2)R_(2)=n_(1) e rho v_(d_(1))l " " [ :. R_(1)=(rhol)/(A_(1))]`
Now `I_(1)R_(1)=I_(2)R_(2) " " :. (v_(d_(1)))/(v_(d_(2)))=1`
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