Consider an infinitely long cylindrical shell whose inner radius R is the outer radius 2R. The volumetric charge density varies as p = 9r where r is the distance from the axis of the cylindrical shell. Find the potential difference between A and B points when they are 3R and 4R respectively extended from the axis (Note: R = 40 cm, pi = 3 and epsilon zero = 9 * 10 ^ (- 12))

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Consider an infinitely long cylindrical shell whose inner radius R is the outer radius 2R. The volumetric charge density varies as p = 9r where r is the distance from the axis of the cylindrical shell. Find the potential difference between A and B points when they are 3R and 4R respectively extended from the axis (Note: R = 40 cm, pi = 3 and epsilon zero = 9 * 10 ^ (- 12))

Axis
R
2R
- 3R
4R
İç yarıçapı R dış yarıçapı 2R ol an sonsuzuzunluktaki bir silindirik kabuğu göz önüne
al inız. Hacimsel yük yoğunluğu p = 9r şeklinde değişmektedir. Burada r silindirik
kabuğun ekseninden olan uzaklıktır. Eksenden sırasıyle 3R ve 4R uzaklıklardaki A
ve B noktaları arası potansiyel farkmı bulunuz (AVAB = V3 - V). (Not:
R=40cm, π-
АВ
3 and ɛ, = 9.10-12 ( C2
Nm
а) — 2,24x10%V
2,24x10° V
b)
c) -4,3×101°V
d) 4,3x101°V
e) -1,57x1012
Transcribed Image Text:Axis R 2R - 3R 4R İç yarıçapı R dış yarıçapı 2R ol an sonsuzuzunluktaki bir silindirik kabuğu göz önüne al inız. Hacimsel yük yoğunluğu p = 9r şeklinde değişmektedir. Burada r silindirik kabuğun ekseninden olan uzaklıktır. Eksenden sırasıyle 3R ve 4R uzaklıklardaki A ve B noktaları arası potansiyel farkmı bulunuz (AVAB = V3 - V). (Not: R=40cm, π- АВ 3 and ɛ, = 9.10-12 ( C2 Nm а) — 2,24x10%V 2,24x10° V b) c) -4,3×101°V d) 4,3x101°V e) -1,57x1012
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