lindrical cable has an inner conductor of radius a = 0.0058 m, a surrounding conductor of radius b = 0.015 m, and length l = 6.8 m.  a. What is the formula of the capacitance of coaxial cylinders? (see image attached) b. Calculate the numerical value of the capacitance in F.  c. Express the capacitance C through

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter27: Capacitors And Batteries
Section: Chapter Questions
Problem 26PQ
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A coaxial cylindrical cable has an inner conductor of radius a = 0.0058 m, a surrounding conductor of radius b = 0.015 m, and length l = 6.8 m. 

a. What is the formula of the capacitance of coaxial cylinders? (see image attached)

b. Calculate the numerical value of the capacitance in F. 

c. Express the capacitance C through potential difference across the capacitor ΔV and charge Q

d. If the potential difference ΔV = 0.3 V, how much charge is stored in the capacitor? 

Part (a) What is the formula of the capacitance of coaxial cylinders?
21
a'
k In (4)
a
k In
2k In ()
2k In (2)
2k In (2)
k In (2)
Transcribed Image Text:Part (a) What is the formula of the capacitance of coaxial cylinders? 21 a' k In (4) a k In 2k In () 2k In (2) 2k In (2) k In (2)
Expert Solution
Step 1

a)

Let We have a coaxial cylindrical cable that has an inner conductor of radius a and outer conductor has radius b and the length is l.  and two cylinders are connected by the battery with the potential difference between them is V, and the charge per unit length on the inner cylinder is +λ C/m and on the outer cylinder is-λ C/m

Therefore the capacitance  of the coaxial cylinder is 

C = l2Klnba ------------ eq1 

So the answer to the first part a ) is C = l2Klnba

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