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Question

Physics Question on Current electricity

Consider a copper wire of length LL, cross-sectional area AA. It has nn number of free electrons per unit volume. Which of the following is the correct expression of drift velocity of the electrons when the wire carries a steady current II?

A

IneL\frac{I}{neL}

B

In2eL\frac{I}{{{n}^{2}}eL}

C

IneA\frac{I}{neA}

D

Ine2LA\frac{I}{n{{e}^{2}}LA}

Answer

IneA\frac{I}{neA}

Explanation

Solution

We have, I=neAvdI=n e A v_{d}
Drift velocity, vd=IneAv_{d}=\frac{I}{n e A}