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steringPhysics Homework 6-Google Cheome physics com/myct/itemView?assignmentProb

ID: 1538019 • Letter: S

Question

steringPhysics Homework 6-Google Cheome physics com/myct/itemView?assignmentProblem ecure https//session mast ID 73835755 ering 2049 801 Spring 2017 Exercise 24.12 previous ercise 24.12 What is the capacitance per unit length? A cylindrical capacitor has an inner conductor of radius 27 mm and an outer conductor of radius 38 mm. The two conductors are separated by vacuum and the entire capacitor is 22 m long. PF/m Sutenit My Answers fable Part B The potential of the inner conductor relative to that ofthe outer conductor is 350 mv Find the charge (magnrude and sign) on the inner conductor Express your answer with the appropriate units. Value mirs Answers Part C of the inner conductor relative to that of the outer conductor is 350 mV Find the charge (magnitude and sign) on the otter tonductor Express your answer with the appropriate units.

Explanation / Answer

given

a = 2.7 mm

b = 3.8 mm

L = 2. 2m

A)
capacitance of a cyllindrical capacitor, C = 2*pi*epsilon*L/ln(b/a)

C/L = 2*pi*epsilon/ln(b/a)

= 2*pi*8.854*10^-12/ln(3.8/2.7)

= 1.62*10^-10 F/m

= 162 pF/m

B) C = 162*2 pF

= 324 pF

= 3.24*10^-10 F

apply, Q1 = C*V

= 3.24*10^-10*350*10^-3

= 1.134*10^-10 C

C) Q2 = -1.134*10^-10 C