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Electrostatic Boundary-Value Problems

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Figure 6.1 An electrohydrodynamic pump; for Example 6.1.

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Figure 6.2 For Example 6.2.

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Figure 6.3 Potential V() due to semi-infinite conducting planes.

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Figure 6.4 For Practice Exercise 6.3.

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Figure 6.5 Potential V () due to conducting cones.

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Figure 6.6 For Practice Exercise 6.4.

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Figure 6.7 Potential V(x, y) due to a conducting rectangular trough; for Example 6.5.

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Figure 6.8 Sketch of cosh x and sinh x showing that sinh x 0 if and only if x 0; for Case 2 of Example 6.5.

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Figure 6.9 Sketch of sin xshowing that sin x0 at infinite number of points; for Case 3 of Example 6.5.

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Figure 6.10 For Example 6.5: (a) V(x, y) calculated at some points, (b) sketch of flux lines and equipotential lines.

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Figure 6.11 Matlab program for Example 6.5.

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Figure 6.12 A two-conductor capacitor.

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Figure 6.13 (a) Parallel-plate capacitor. (b) Fringing effect due to a parallel-plate capacitor.

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Figure 6.14 A coaxial capacitor.

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Figure 6.15 A spherical capacitor.

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Figure 6.16 Capacitors (a) in series and (b) in parallel.

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Figure 6.17 Bent metal bar for Example 6.8.

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Figure 6.18 Potential V(r) due to conducting spherical shells.

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Figure 6.19 For Practice Exercises 6.9, 6.10, and 6.12.

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Figure 6.20 For Example 6.12.

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Figure 6.21 Image system: (a) charge configurations above a perfectly conducting plane, (b) image configuration with the conducting plane replaced by equipotential surface.

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Figure 6.22 (a) Point charge and grounded conducting plane. (b) Image configuration and field lines.

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Figure 6.23 Point charge between two semi-infinite conducting planes.

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Figure 6.24 Determining (a) the potential at P and (b) the force on charge Q.

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Figure 6.25 Point charge between two semi-infinite conducting walls inclined at 60° to each other.

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Figure 6.26 Circular microstrip capacitor.

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Figure 6.27 Capacitance of the circular microstrip capacitor.

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Figure 6.28 For Problem 6.11.

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Figure 6.29 Cylindrical capacitor of Problem 6.12.

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Figure 6.30 Conducting cones of Problem 6.15.

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Figure 6.31 For Problem 6.18.

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Figure 6.32 For Problem 6.19.

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Figure 6.33 For Problem 6.20.

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Figure 6.34 For Problem 6.24.

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Figure 6.35 For Problem 6.26.

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Figure 6.36 For Problem 6.28.

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Figure 6.37 For Problem 6.29.

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Figure 6.38 For Problem 6.30.

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Figure 6.39 For Problem 6.32.

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Figure 6.40 Simplified geometry of an ink-jet printer; for Problem 6.41.

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Figure 6.41 For Problem 6.43.