TAILIEUCHUNG - Electromagnetic Field Theory: A Problem Solving Approach Part 29

Electromagnetic Field Theory: A Problem Solving Approach Part 29. Electromagnetic field theory is often the least popular course in the electrical engineering curriculum. Heavy reliance on vector and integral calculus can obscure physical phenomena so that the student becomes bogged down in the mathematics and loses sight of the applications. This book instills problem solving confidence by teaching through the use of a large number of worked problems. To keep the subject exciting, many of these problems are based on physical processes, devices, and models. This text is an introductory treatment on the junior level for a two-semester electrical engineering. | Problems 255 a What is the time dependence of the dome voltage b Assuming that the electric potential varies linearly between the charging point and the dome how much power as a function of time is required for the motor to rotate the belt 58. A Van de Graaff generator has a lossy belt with Ohmic conductivity cr traveling at constant speed U. The charging point at z 0 maintains a constant volume charge density p0 on the belt at z 0. The dome is loaded by a resistor RL to ground. a Assuming only one-dimensional variations with z what are the steady-state volume charge electric held and current density distributions on the belt b What is the steady-state dome voltage 59. A pair of coupled electrostatic induction machines have their inducer electrodes connected through a load resistor RL. In addition each electrode has a leakage resistance R to ground. a For what values of n the number of conductors per second passing the collector will the machine self-excite 256 Polarization and Conduction b If n 10 Ci 2 pf and C 10 pf with RL R what is the minimum value of R for self-excitation c If we have three such coupled machines what is the condition for self-excitation and what are the oscillation frequencies if RL oo d Repeat c for N such coupled machines with Rl o. The last machine is connected to the first. chapter 4 electric field boundary value .

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