Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area 1.0 \times 10^{-7} {\m}^2 carrying a current of 1.5 {\A}. Assume the density of conduction electrons to be 9 \times 10^{28} {\m}^{-3}.

CBSE Class 12 Physics 2014 Outside Delhi Set 1 Paper

Question : 14 of 30

Marks: +1, -0

Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area

1.0 × 10^{-7} {\m}^2

carrying a current of

1.5 {\A}

. Assume the density of conduction electrons to be

9 × 10^{28}

{\m}^{-3}

Solution:

v_d=\;{I}/{n A q} \;\text ", where "\;

I is the current

n

is charge density

q

is the charge of electron and

A

is the cross sectional area

\;v_d=\;{1.5}/{9 × 10^{28} × 1.0 × 10^{-7} × 1.6 × 10^{-19}}

\;v_d=10.4 × 10^{-4} {\m} \/ {\ sec}

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