circuit. A coil of wire, with a low-frequency time-harmonic current i(t) = lo coswt, is wound uniformly and densely about a thin toroidal core made of a nonlinear ferromagnetic material that exhibits hysteresis effects. Consider the magnetic flux density, B(t), and magnetic field intensity, H (t), in the core, as well as the induced emf, eind (t), in the coil. Which of these quantities are time-harmonic functions? (A) B(t) only. (B) H(t) only. (C) B(t) and H(t) only. (D) B(t) and eind (t) only. (E) All three quantities. (F) None of the quantities.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.4P
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circuit. A coil of wire, with a low-frequency time-harmonic current i(t) = Io coswt,
is wound uniformly and densely about a thin toroidal core made of a nonlinear
ferromagnetic material that exhibits hysteresis effects. Consider the magnetic flux
density, B(t), and magnetic field intensity, H(t), in the core, as well as the induced
emf, eind(t), in the coil. Which of these quantities are time-harmonic functions?
(A) B(t) only.
(B) H(t) only.
(C) B(t) and H(t) only.
(D) B(t) and eind (t) only.
(E) All three quantities.
(F) None of the quantities.
Transcribed Image Text:circuit. A coil of wire, with a low-frequency time-harmonic current i(t) = Io coswt, is wound uniformly and densely about a thin toroidal core made of a nonlinear ferromagnetic material that exhibits hysteresis effects. Consider the magnetic flux density, B(t), and magnetic field intensity, H(t), in the core, as well as the induced emf, eind(t), in the coil. Which of these quantities are time-harmonic functions? (A) B(t) only. (B) H(t) only. (C) B(t) and H(t) only. (D) B(t) and eind (t) only. (E) All three quantities. (F) None of the quantities.
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