8.02 Lecture Notes - Lecture 1: Rlc Circuit, Voltage Source, Direct Current

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amethystmuskrat145

13 Apr 2016

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Document Summary

Ac circuits: example ac voltage source current we need to determine i and . Group problem: inverse, addition and multipication of complex numbers. Consider two complex numbers z = x + iy and z = x + iy. For each complex number, determine the modulus and phase. The impedance z is a complex number that generalizes the concept of resistance to any circuit element, as the proportionality constant between voltage and current v(t) = z i(t) The admittance y of a circuit element is a complex number that is de ned to be the inverse of impedance y = 1/z. When circuit elements are connected in series, the equivalent impedance is the sum of the individual impedances of each element. Write equivalent impedance in terms of modulus and phase. Voltage across the branch and the current are related by. Current and voltages are in phase = 0.

Related Questions

find the amplitude of the current i0 through the voltage source.

To understand the use of phasors in analyzing a parallel AC circuit.Phasor diagrams, or simply phasors, provide a convenient graphical way of representing the quantities that change with time along with .This makes them useful for analyzing AC circuits with their inherent phase shifts between voltage and current. If a quantity I(t) changes with time as , a phasor is a vector whose length represents the amplitude Io(see the diagram). This vector is assumed to rotate counterclockwise with angular speed ; that way, the horizontal component of the vector represents the actual value I(t) at any given moment.In this problem, you will use the phasor approach to analyze an AC circuit.