# Show transcribed image text I. Sketch the equipotential lines for the following cases: a. The volume

Show transcribed image text I. Sketch the equipotential lines for the following cases: a. The volume between the two plates of a parallel capacitor. b. A dipole c. The volume between the inner and outer conductors of coaxial cable. 2. Give the detailed boundary conditions for each of the following: a) Consider a sphere of plastic emersed in a non-conductive fluid. Find the most reduced form of the boundary conditions for the displacement vector, D . b) Consider a cylinder of plastic emersed in a conductive fluid (e.g. mercury). Find the most reduced form of the boundary conditions for the displacement vector, D . c) Consider the surface of a component of a phased array antenna. Each element of the antenna is approximately a rectangle. Above the phased array element is air. Find the most reduced form of the boundary conditions for the displacement vector, D . 3. Consider two perfectly conducting planes that meet at an angle a with one another. Assume 0 < alpha="" pi/2="" one="" plane="" is="" at="" a="" potential="" v0="" and="" the="" other="" is="" at="" a="" ground="" potential.="" the="" plane="" medium="" between="" the="" planes="" is="" a="" dielectric="" with="" permittivity="" .="" a.="" sketch="" this="" configuration.="" b.="" what="" coordinate="" system="" should="" be="" used?="" c.="" begin="" with="" the="" appropriate="" form="" of="" laplace?s="" equation="" and="" simplify="" as="" much="" as="" possible.="">

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