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Problem 9: A cylındrical capacitor 1s made of two concentric conducting cylınders. The inner cylinder has radıus R; = 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

Problem 9: A cylındrical capacitor 1s made of two concentric conducting cylınders. The inner cylinder has radıus R; = 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

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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 R,<r<R, from the center of the cylinders. Write your answer in terms of 1, r, and en. E = Part (b) Calculate the electric potential difference between the outside and the inside cylinders in V. AV = Part (c) Calculate the capacitance per unit length of these concentric cylinders in F/m. C/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 R,<r<R, from the center of the cylinders. Write your answer in terms of 1, r, and en. E = Part (b) Calculate the electric potential difference between the outside and the inside cylinders in V. AV = Part (c) Calculate the capacitance per unit length of these concentric cylinders in F/m. C/I =
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