Current Electricity

The current I=80A, and the length of the conductor L=10m.
Expression for Current:
Current can be written as I=neAVd, where n is the number of electrons per unit volume, e is the charge of an electron, A is the cross-sectional area, and Vd is the drift velocity of electrons.
Total Number of Electrons:
Let N be the total number of free electrons in the length L of the conductor. N=nAL.
Total Momentum:
The total momentum of all free electrons is P‌total ‌=N(meVd), where me is the mass of an electron.
Substitute N :
So, P‌total ‌=(nAL)(meVd).
Rewrite with Current Expression:
Since I=neAVd, we can replace nAVd with ‌

I

e

.
Therefore, P‌total ‌=(I∕e)Lme.
Simplified Formula:
So, P‌total ‌=I‌

Lme

e

.
Plug in the Values:

P‌total ‌=80×‌

10×9.1×10−31

1.6×10−19

First, multiply 80×10=800.
Now 800×9.1=7280.
So, numerator is 7280×10−31 and denominator is 1.6×10−19.
Divide 7280 by 1.6 to get 4550 .
Power of ten: 10−31∕10−19=10−12
Final Answer:
P‌total ‌=4550×10−12N−s=4.55×10−9N−s=455×10−11N−s