Sorry but you have to calculate the length from position 1 to position 2. It's an infinite linecharge.
I can't understand where I went wrong in my calculations.
Homework Statement
q=1.602*10^-19 point 1
L=1mm=r1
v=1.1*10^6 at point 2
F=1.44*10^-12 at point 1
Homework Equations
E=(1/4πε)*(q/r)
ΔV=∫E*dr=(1/4πε)*q∫(1/r)=(1/4πε)*q*ln (r2/r1)
ΔU=ΔK=mv^2/2
ΔK=mv^2/2=ΔV*q=q*(1/4πε)*Q*(ln(r2/r1))...
How is that possible?
ΔK=mv2/2=ΔV*q=q*(1/4πε)*Q*(1/r2-1/r1)
Q=1.00*10^-9ΔK=mv2/2=ΔV*q=q*(1/4πε)*q*(1/r2-1/r1)
(mv^2*epsilon*m*4*pi)/(2*q*Q)=1/r2-1/r1
(1.673*10^-27)*)((1.1*10^6)^2)*4*pi*(8.854*10^-12)/(2*(1.602*10^-19)*(1.00*10^-9))=1/r2-1000
1/r2=1702.97
r2=5.872*10^-4
Homework Statement
So I want to know the distance to 2. The proton is at v=0 at the 1.
We know that:
q=1.602*10^-19 point 1
L=1mm
v=1.1*10^6 at point 2
F=1.44*10^-12 at point 1
Homework Equations
[/B]
E=(1/4πε)*(q/r2)
ΔV=∫E*dr=(1/4πε)*q∫(1/r2)=(1/4πε)*q*(1/r2-1/r1)
ΔU=ΔK=mv2/2...