The drift velocity of electrons for a conduct | vedclass

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Question

(A) The drift velocity $V_{d}$ is given by the formula $V_{d} = \frac{eE}{m}	au$,where $e$ is the charge of an electron,$E$ is the electric field,$m$

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$V_{d}$

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(A) The drift velocity $V_{d}$ is given by the formula $V_{d} = \frac{eE}{m}	au$,where $e$ is the charge of an electron,$E$ is the electric field,$m$ is the mass of the electron,and $	au$ is the relaxation time.Since $E = \frac{V}{L}$,where $V$ is the applied voltage and $L$ is the length of the conductor,we can write $V_{d} = \frac{eV}{mL}	au$.In this problem,the applied voltage $V$,length $L$,material (which determines $	au$),and charge/mass of the electron remain constant.Therefore,the drift velocity $V_{d}$ is independent of the area of cross-section $A$.Thus,the new drift velocity remains $V_{d}$.

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