Answer:
129.2 C
0.33758239177 mm
Explanation:
n = Number density = [tex]8.46\times 10^{28}\ electrons/m^3[/tex]
i = Current = 170 A
t = Time taken = 0.76 s
d = Diameter = 6 mm
Charge is given by
[tex]q=it\\\Rightarrow q=170\times 0.76\\\Rightarrow q=129.2\ C[/tex]
The charge passing throught the motor is 129.2 C
Current density
[tex]J=\dfrac{i}{A}\\\Rightarrow J=\dfrac{170}{\dfrac{\pi}{4}\times (6\times 10^{-3})^2}\\\Rightarrow J=6012520.07236\ A/m^2[/tex]
Drift velocity is given by
[tex]v_d=\dfrac{J}{ne}\\\Rightarrow v_d=\dfrac{6012520.07236}{8.46\times 10^{28}\times 1.6\times 10^{-19}}\\\Rightarrow v_d=0.000444187357592\ m/s[/tex]
Distance traveled
[tex]s=v_dt\\\Rightarrow s=0.000444187357592\times 0.76\\\Rightarrow s=0.00033758239177\ m=0.33758239177\ mm[/tex]
The electron traveled 0.33758239177 mm
