Question

3. Assume that each atom of copper contributes one free electron. The density of Cu is 9g/cc and atomic weight is 63g. if the current flowing through the copper wire of 1mm dia is 1.1A, drift velocity of electrons will be-

Answer 1

`v_d=0.1\ mm/s`

Step-by-step explanation:

The current flowing through a conductor is given as:

`I=neAv_d\\where\ A =area\ of\ conductor=\pi d^2/4=\pi(1*10^-3)^2/4=7.85*10^(-7)\\\\I=current\ flowing\ through\ the \ conductor=1.1A\\\\e=charge\ of \ electron=1.602*10^(-19)\\\\N_A=Avogadro \ constant=6.023*10^(23)\ mol^(-1)\\\\Density=9*10^3kg/m^3=9*10^6g/m^3\\\\n=(6.023*10^(23)\ mol^(-1)*9*10^6\ g/m^3)/(63\ g/mol) =8.604*10^(28)\ m^(3)\\\\v_d=(I)/(neA)=(1.1)/(8.604*10^(28)*1.602*10^(-19)*7.85*10^(-7))=0.0001\ m/s\\\\v_d=0.1\ mm/s`