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Q5: Two semi-infinite grounded conducting planes (xz-plane & yz-plane) meet at right angles and one of the planes was grounded, see Figure to right. In the region between them and a distance a there is a very long wire, along the z-axis, carries a uniform linear charge density 1. a) Set up the image configuration and calculate the potential at a point in this region. b) Discuss the force on wire and the work done to bring the wire from infinity to the distance a. c) Suppose the planes met at some angle other than 90°; would you still be able to solve the problem by the method of images? If not, for what particular angles does the method work?

Q5: Two semi-infinite grounded conducting planes (xz-plane & yz-plane) meet at right angles and one of the planes was grounded, see Figure to right. In the region between them and a distance a there is a very long wire, along the z-axis, carries a uniform linear charge density 1. a) Set up the image configuration and calculate the potential at a point in this region. b) Discuss the force on wire and the work done to bring the wire from infinity to the distance a. c) Suppose the planes met at some angle other than 90°; would you still be able to solve the problem by the method of images? If not, for what particular angles does the method work?

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Q5: Two semi-infinite grounded conducting planes (xz-plane & yz-plane) meet at right angles and one of the planes was grounded, see Figure to right. In the region between them and a distance a there is a very long wire, along the z-axis, carries a uniform linear charge density 1. a) Set up the image configuration and calculate the potential at a point in this region. b) Discuss the force on wire and the work done to bring the wire from infinity to the distance a. c) Suppose the planes met at some angle other than 90°; would you still be able to solve the problem by the method of images? If not, for what particular angles does the method work?
Transcribed Image Text:Q5: Two semi-infinite grounded conducting planes (xz-plane & yz-plane) meet at right angles and one of the planes was grounded, see Figure to right. In the region between them and a distance a there is a very long wire, along the z-axis, carries a uniform linear charge density 1. a) Set up the image configuration and calculate the potential at a point in this region. b) Discuss the force on wire and the work done to bring the wire from infinity to the distance a. c) Suppose the planes met at some angle other than 90°; would you still be able to solve the problem by the method of images? If not, for what particular angles does the method work?
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