(a) Using Faraday's Law as a starting point prove that the maximum operatingvoltage of a transformer to avoid magnetic saturation is given by thefollowing equation:Q3Vrms=4.44N.f.Bmax.Acwhere:Vrms = maximum rms operating voltage avoiding magnetic saturationN = number of turns in the windingf= electrical frequency (Hz)Bmax = maximum flux density (T) (typically 1.3T for iron)Ac = Iron core cross sectional area (m²)A single phase transformer has the parameters shown on Table Q3 and isconnected to a 230 V and 50 Hz AC supply. Sketch the equivalent circuitand using this determine:(b)(i)The Secondary voltage under Open Circuit (Vsoc)(ii)The Secondary voltage, current and power (W) given a 0.6 Q resistiveLoad.(iii)The efficiency and voltage regulation at this loadThrough suitable calculations determine whether the size, weight or cost ofthis transformer could be reduced such that it operated below a maximumflux density of 1.3 T and the current density in both windings was limited toaround 5A/mm? for this load.(c)ParameterValueUnitsDefinitionRC1400Core Loss ResistanceMagnetising ReactanceEquivalent Winding ResistanceEquivalent Leakage InductanceNumber of turns in primary windingNumber of turns in secondary windingXM400ΩRleq| Xleq| Np2.4ΩΩ10010NsАс10,000mm?Iron Core cross sectionPrimary winding wire diameterSecondary winding wire diameter3DwpDwrmmmmTable Q3

Answered: Image /qna-images/answer/c50e9dc6-23fc-4781-856c-1ab101cf2aad.jpg

Using Faraday's Law as a starting point prove that the maximum operating voltage of a transformer to avoid magnetic saturation is given by the following equation: (a) Vrms=4.44N.f.Bmax.Ac where: Vrms = maximum rms operating voltage avoiding magnetic saturation N = number of turns in the winding f= electrical frequency (Hz) Bmax = maximum flux density (T) (typically 1.3T for iron) Ac = Iron core cross sectional area (m2)

Using Faraday's Law as a starting point prove that the maximum operating voltage of a transformer to avoid magnetic saturation is given by the following equation: (a) Vrms=4.44N.f.Bmax.Ac where: Vrms = maximum rms operating voltage avoiding magnetic saturation N = number of turns in the winding f= electrical frequency (Hz) Bmax = maximum flux density (T) (typically 1.3T for iron) Ac = Iron core cross sectional area (m2)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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