2008+ Solved Problems in Electromagnetics

Solved Problems 201 265

2.201 The cable shown in Fig. 2-59 is 8 km long. Calculate its capacitance.


Figure 2-59

2.202 Determine the capacitance per unit length of the cable shown in Fig. 2-60.


Figure 2-60

2.203 For the coaxial cable shown in Fig. 2-60, with the conductor at potential V 0 and the outer shield grounded, determine the maximum electric intensity in each dielectric from the following data: V 0 = 1.2 kV, ? r l = 4.5, ? r 2 = 3, and r 3 = 2 r 2 = 4 r 1 = 40 mm.

2.204 A pair of 200-mm-long concentric cylindrical conductors of radii 50 and 100 mm is filled with a dielectric, ? = 10 ? 0. A voltage is applied between the conductors to establish an electric field E = (10 6/ r) a r (V/m) between the cylinders. Calculate the energy stored.

2.205 Determine the capacitance and the applied voltage between the cylinders of Problem 2.204.

2.206 Determine the capacitance of a parallel-plate capacitor filled with two dielectrics, as shown in Fig. 2-61.


Figure 2-61

2.207 A parallel-plate capacitor has two layers of dielectrics, as shown in Fig. 2-62. How is the potential difference V applied between the plates divided across the dielectrics?


Figure 2-62

2.208 A capacitor is formed from a segment of two coaxial cylinders, as shown in...

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