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hw4 - Electricity and Magnetism I(P331 Homework 4 Due...

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Electricity and Magnetism I (P331) Homework 4 Due: Wednesday, October 7, 4:00 PM 1. Two semi-infinite conducting planes meet at at a 60 angle. A charge + q is placed in the narrow gap between the planes along the bisector of the 60 angle. Assuming you want to compute the potential in this region sketch the location and magnitude of all of the necessary image charges. (You do not need to compute the potential.) 2. Two semi-infinite conducting planes meet at a 90 angle. A charge + q is placed a distance d from each plane. (a) Compute the potential in the region in between the planes. (b) How much work is required to move the charge from infinity to its location in between the planes? 3. Study the image charge problem discussed in Example 3.2 in your text (p. 124). (a) Show that Equation 3.17 can be written as V ( r, θ ) = 1 4 π 0 q r 2 + a 2 - 2 ra cos θ - q R 2 + ( ra/R ) 2 - 2 ra cos θ . (1) This form should make it clear that when r = R , V = 0.

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