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Consider two conducting wires A and B of the same diameter but made of different materials joined in series across a battery. The number density of electrons in A is 1.5 times that in B. - Physics

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प्रश्न

Consider two conducting wires A and B of the same diameter but made of different materials joined in series across a battery. The number density of electrons in A is 1.5 times that in B. Find the ratio of the drift velocity of electrons in wire A to that in wire B.

संख्यात्मक
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उत्तर

In a series circuit current flowing through the entire circuit is exactly the same, hence

`I = n_A A_e(v_d)_A`

= `n_B A_e(v_d)_B`

`((v_d)_A)/((v_d)_B) = n_B/n_A = n_B/(1.5n_B) = 1/1.5`

= `10/15 = 2/3`

`(v_d)_A : (v_d)_B = 2 : 3`

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