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Some practice with an infinite line charge. (a) What is the electric field on an infinite line charge that has a constant charger per unit length of X? (b) What is the electrostatic potential in this case? Is it possible to make the potential vanish at infinity? (c) Consider an infinite conducting cylinder of radius a that is grounded. Suppose there is an infinite line charge with a constant charge per unity length that is located inside the cylinder, such that it is parallel to the cylinder, but displaced from the central axis by an amount b, with b < a. Determine the electrostatic potential everywhere inside the cylinder. I suggest using the method of images, by placing another line charge outside

Some practice with an infinite line charge. (a) What is the electric field on an infinite line charge that has a constant charger per unit length of X? (b) What is the electrostatic potential in this case? Is it possible to make the potential vanish at infinity? (c) Consider an infinite conducting cylinder of radius a that is grounded. Suppose there is an infinite line charge with a constant charge per unity length that is located inside the cylinder, such that it is parallel to the cylinder, but displaced from the central axis by an amount b, with b < a. Determine the electrostatic potential everywhere inside the cylinder. I suggest using the method of images, by placing another line charge outside

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Some practice with an infinite line charge. (a) What is the electric field on an infinite line charge that has a constant charger per unit length of X? (b) What is the electrostatic potential in this case? Is it possible to make the potential vanish at infinity? (c) Consider an infinite conducting cylinder of radius a that is grounded. Suppose there is an infinite line charge with a constant charge per unity length that is located inside the cylinder, such that it is parallel to the cylinder, but displaced from the central axis by an amount b, with b < a. Determine the electrostatic potential everywhere inside the cylinder. I suggest using the method of images, by placing another line charge outside the cylinder.
Transcribed Image Text:Some practice with an infinite line charge. (a) What is the electric field on an infinite line charge that has a constant charger per unit length of X? (b) What is the electrostatic potential in this case? Is it possible to make the potential vanish at infinity? (c) Consider an infinite conducting cylinder of radius a that is grounded. Suppose there is an infinite line charge with a constant charge per unity length that is located inside the cylinder, such that it is parallel to the cylinder, but displaced from the central axis by an amount b, with b < a. Determine the electrostatic potential everywhere inside the cylinder. I suggest using the method of images, by placing another line charge outside the cylinder.
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