Two wires of the same material but of different diameters carry the same current `i`. If the ratio of their diameters is `2:1` , then the correspondin

Question

Two wires of the same material but of different diameters carry the same current `i`. If the ratio of their diameters is `2:1` , then the correspondin

Two wires of the same material but of different diameters carry the same current `i`. If the ratio of their diameters is `2:1` , then the corresponding ratio of their mean drift velocities will be
A. `4:1`
B. `1:1`
C. `1:2`
D. `1:4`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
Drift velocity `v_(d)=(l)/(nAe)=(lxx4)/(n pi D^(2)e) " " [because A = pi((D)/(2))^(2)]`
i.e., `v_(d) prop (1)/(D^(2)) therefore (v_(d_(1)))/(v_(d_(2)))=(D_(2)^(2))/(D_(1)^(2))=((1)/(2))^(2)=(1)/(4)`

4 views Answered 2023-02-05 15:29