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Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross-section 5 mm^{2}, is \upsilon. If the electron density in copper is 9\times 10^{28}/m^{3} the value of \upsilon in mm/s is close to (Take charge of an electron to be = 1.6\times 10^{-19}C)

A. 0.02

B. 3

C. 2

D. 0.2

Answers (1)

Translatory motion of charge -

i=nqvA

- wherein

If there are n particles per unit volume each having charge q and moving with velocity v

I = neAVd

V_{d} = \frac{I}{neA}

= \frac{1.5}{9 \times 10^{28} \times1.6 \times 10^{-19} \times 5 \times 10^{-6} }

= 0.02 x 10-3 m/s

= 0.02 mm/sec

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