Two different 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 .

Two different wires X and Y of same diameter but different materials a

1.	Two different 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 .
Answer» The current I through the wire is related with drift velocity vd is given by I = n A `e v_(d)`. Since two wires X and Y of same diameter but different materials are joined in series . `therefore " " I_(x) = I_(y)` `therefore " " n_(x) A ev_(dx) = n_y Ae v_(dy)` `2 n_(y) A e v_(dx) = n_(y) Ae v_(dy) implies (v_(dx))/(v_(dy)) = (1)/(2) v_(dx) : v_(dy) = 1 : 2`

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Two different 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 .

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