- #1
Monster007
- 26
- 1
Hi, studying for exam and checking if i am doing this question correctly ,
Q: Cylinder radius R=1m length L=2m exists in free space with no other charges nearby.
Cylinder volume is charged with uniform charge Q= 7C.
(a)Find the charge density in Coulombs per cubic metre.
(b) charge distribution now changes to p = a.s (s=radial distance from central axis of cylinder)
find the total charge.
Answer: (a) I think p=Q/V as uniform charge so;
p=7/(volume cylinder) = 7/2(pi)
(b) total charge =Q = integral(charge dens . volume)
hence Q= ∫∫∫(a.r).(2∏r2).r.dr.dθ.dz (where 0<θ<2∏, 0< z < 2, 0<r<1)
and doing the math i get : Q = (8∏2.a)/5
There are no answers to the questions in this course for some reason so hard to know if I am right or on completely wrong track so any help would be appreciated cheers
Q: Cylinder radius R=1m length L=2m exists in free space with no other charges nearby.
Cylinder volume is charged with uniform charge Q= 7C.
(a)Find the charge density in Coulombs per cubic metre.
(b) charge distribution now changes to p = a.s (s=radial distance from central axis of cylinder)
find the total charge.
Answer: (a) I think p=Q/V as uniform charge so;
p=7/(volume cylinder) = 7/2(pi)
(b) total charge =Q = integral(charge dens . volume)
hence Q= ∫∫∫(a.r).(2∏r2).r.dr.dθ.dz (where 0<θ<2∏, 0< z < 2, 0<r<1)
and doing the math i get : Q = (8∏2.a)/5
There are no answers to the questions in this course for some reason so hard to know if I am right or on completely wrong track so any help would be appreciated cheers