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Two semi-infinite grounded conducting planes meet at right
Chapter 3, Problem 11P(choose chapter or problem)
Problem 11P
Two semi-infinite grounded conducting planes meet at right angles. In the region between them, there is a point charge q, situated as shown in Fig. 3.15. Set up the image configuration, and calculate the potential in this region. What charges do you need, and where should they be located? What is the force on q? How much work did it take to bring q in from infinity? 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?
Reference figure 3.15
Questions & Answers
QUESTION:
Problem 11P
Two semi-infinite grounded conducting planes meet at right angles. In the region between them, there is a point charge q, situated as shown in Fig. 3.15. Set up the image configuration, and calculate the potential in this region. What charges do you need, and where should they be located? What is the force on q? How much work did it take to bring q in from infinity? 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?
Reference figure 3.15
ANSWER:
Solution
Step 1 of 5
In this problem, we have to find force on q from the image configuration. Given two semi-infinite ground conducting planes meet at right angle, there is a point charge q in the regions.