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# ee212_1 - EE 212 PASSIVE AC CIRCUITS Instructor Robert...

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2009-2010 EE 212 1 EE 212 PASSIVE AC CIRCUITS Instructor : Robert Gander Office: 2B37 Email: [email protected] Phone: 966-4729 Class Website: www.engr.usask.ca/classes/ee/212 Text Recommended: Introduction to Electric Circuits - 5 th or Higher Edition - R.C. Dorf and J.A. Svoboda

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2009-2010 EE 212 2 Marking System Assignment 15 Midterm Exam 25 Final Exam 60 Total 100
2009-2010 EE 212 3 Introduction, AC waveforms, phase shift in R, L, C circuits Steady-state circuit analysis - time domain, phasor concept Phasor diagrams, impedance/admittance, resistance and reactance in complex plane Power factor, real and reactive power Loop and Nodal analysis Thevenin's/Norton's theorem, maximum power transfer theorem, wye- delta transformation Superposition theorem, multiple sources with different frequency, non- sinusoidal sources Series and parallel resonance Major Topics

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2009-2010 EE 212 4 Coupled circuits Transformer action, equivalent circuit, Losses Transformer open and short circuit tests, efficiency and voltage regulation 3-phase systems, Y-delta connections/transformations Multiple 3-phase loads Power Measurement, Wattmeter connections in 1-phase and 3-phase balanced/unbalanced systems Per Unit system Major Topics (continued)
2009-2010 EE 212 5 obeys Ohm’s Law (i.e. v α i or v = Ri ) if the i or v in any part of the circuit is sinusoidal, the i and v in every other part of the circuit is sinusoidal and of the same frequency Non-linear circuits do not obey Ohm’s Law . Linear Circuit Circuit Elements: Active – supply energy, voltage or current source e.g. battery, transistor, IC components Passive – absorb energy e.g. resistor, inductor, capacitor EE 212 deals with “Steady-state analysis of linear AC circuits” (mainly power circuits)

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2009-2010 EE 212 6 A sinusoidal voltage waveform is expressed as: v(t) = V m sin ϖ t angular frequency, ϖ = 2 π f = 2 π /T rad/s Mains distribution frequency: f = 60 Hz in North & South America = 50 Hz in Europe, Asia, Africa, Australia AC Voltage Generation N S 0 90 180 270 360 Vm 0 -Vm
2009-2010 EE 212 7 Instantaneous value changes continuously with time Average value = 0 Effective value is known as the root mean square, RMS RMS value = i.e. V rms = Sinusoidal Waveform 0 90 180 270 360 Vm 0 -Vm 2 Value Peak 2 V m

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2009-2010 EE 212 8 Response to a sinusoidal input is also sinusoidal. Has the same frequency, but may have different magnitude & phase angle. Linear Circuit with AC Excitation ~ v i Input signal, v = V m sin ϖ t Response i = I m sin ( ϖ t + θ ) where θ is the phase angle between v and i Power Factor : cosine of the angle between the current and voltage, i.e.
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ee212_1 - EE 212 PASSIVE AC CIRCUITS Instructor Robert...

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