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Part (d) Calculate the energy stored in the capacitor per unit length, in units of J/m. UN = Part (e) Write an equation for the energy density due to the electric field between the cylinders in terms of 1, r, and eo. Part (f) Consider a thin cylindrical shell of thickness dr and radius R1

Part (d) Calculate the energy stored in the capacitor per unit length, in units of J/m. UN = Part (e) Write an equation for the energy density due to the electric field between the cylinders in terms of 1, r, and eo. Part (f) Consider a thin cylindrical shell of thickness dr and radius R1

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Part d, e and f please.

Problem 9: A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of i = 30 µC/m. The outer cylinder has radius R2 = 75 cm and carries an equal but opposite charge distribution as the inner cylinder. Part (a) Use Gauss' Law to write an equation for the electric field at a distance R1<r<R2 from the center of the cylinders. Write your answer in terms of 1, r, and eg. E = N( 2 n r ɛ0 ) / Correct! Part (b) Calculate the electric potential difference between the outside and the inside cylinders in V. AV = 741147.11 AV = 741100 V Correct! Part (c) Calculate the capacitance per unit length of these concentric cylinders in F/m. C/I = 40.48 * 10-12 C/I = 4.048E-11 V Correct! Part (d) Calculate the energy stored in the capacitor per unit length, in units of J/m. U/N = Part (e) Write an equation for the energy density due to the electric field between the cylinders in terms of 1, r, and eg. u = Part (f) Consider a thin cylindrical shell of thickness dr and radius R1 <r<R2 that is concentric with the cylindrical capacitor. Write an equation for the total energy per unit length contained in the shell in terms of 1, r, dr, and ɛn. dU/I =|
Transcribed Image Text:Problem 9: A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of i = 30 µC/m. The outer cylinder has radius R2 = 75 cm and carries an equal but opposite charge distribution as the inner cylinder. Part (a) Use Gauss' Law to write an equation for the electric field at a distance R1<r<R2 from the center of the cylinders. Write your answer in terms of 1, r, and eg. E = N( 2 n r ɛ0 ) / Correct! Part (b) Calculate the electric potential difference between the outside and the inside cylinders in V. AV = 741147.11 AV = 741100 V Correct! Part (c) Calculate the capacitance per unit length of these concentric cylinders in F/m. C/I = 40.48 * 10-12 C/I = 4.048E-11 V Correct! Part (d) Calculate the energy stored in the capacitor per unit length, in units of J/m. U/N = Part (e) Write an equation for the energy density due to the electric field between the cylinders in terms of 1, r, and eg. u = Part (f) Consider a thin cylindrical shell of thickness dr and radius R1 <r<R2 that is concentric with the cylindrical capacitor. Write an equation for the total energy per unit length contained in the shell in terms of 1, r, dr, and ɛn. dU/I =|
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