Answered: ER VO Sa ac ine Itage

Engineering

Electrical Engineering

ER VO Sa ac ine Itage

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

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.19P

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Concept explainers

Electrical Heating Unit

The conversion of electrical energy to heat energy is known as electric heating. The heating system that converts the electrical energy to heat energy for various application is called electrical heating unit. Electricity is employed as the firing mechanism in electric heating systems, which transforms electric current to heat. Electric heaters have heating elements in the form of electric resistors.

Question

Consider the full-wave rectifier circuit shown below, where
• vS(t) is a sinusoidal signal with a peak value (Vs = 5 V).
• Diodes are modelled using constant voltage model with VDO = 0.7 V
• The ac line voltage has an rms value of 120 V and a frequency (f) = 60 Hz

a) Calculate the transformer turns ratio.

b) Plot in the same graph signal vS(t) and the output signal vO(t) versus time (t) (show all details including amplitudes, time instances, etc.)

c) Calculate the rms value of the output signal vO(t). (hint: sin2
(x) = 0.5(1- cos(2x)))

d) If a capacitor C=3.58 F is connected across R = 10 k, repeat (b) in a new graph

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