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Two conducting wires X and Y of same dia...

Two conducting wires X and Y of same diameter but different materials are joined in series across a battery. If the number density of electrons in X is twice that in Y, find the ratio of drift velocity of electrons in the two wires.

Text Solution

Verified by Experts

Here `n_X=2n_Y` and `A_X= A_Y = A (say)`
In a series circuit the electric current flowing through the entire circuit is exactly same, hence
`I = n_X Ae (v_d)_x = n_Y A e(v_d)_Y`
`rArr ((v_d)_X)/((v_d)_Y) = (n_Y)/(n_X) = (n_Y)/(2n_Y) = 1/2 `
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Knowledge Check

  • Two wires each of radius of cross section r but of different materials are connected together end to end (in series). If the densities of charge charge carries in the two wires are in the ratio 1:4 , the drift velocity of electrons in the two wires will be in the ratio:

    A
    `1:2`
    B
    `2:1`
    C
    `4:1`
    D
    `1:4`

  • 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`

  • Two wires of the same material having radii in the ratio 1:2 , carry currents in the ratio 4:1 . The ratio of drift velocities of electrons in them is:

    A
    `1 :16`
    B
    `16:1`
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