1. Phasor Circuit Analysis
Phasor Diagrams, Voltage and Current Division
Kevin D. Donohue, University of Kentucky

2. Kevin D. Donohue, University of Kentucky
Phasor Diagram
Phasors are denoted by vectors in 2-D space. Phasor diagrams graphically illustrate the summation of complex values
Consider the following summation of complex numbers
resulting from setting up a KVL or KCL equation: RE IM
Kevin D. Donohue, University of Kentucky

3. Phasor Diagram Example
Draw Currents is, ir, il, ic in a phasor diagram to show is = ir + il + ic
where is(t) = sin(1000t) A ir ic il is 1
1mF
0.5mH
Kevin D. Donohue, University of Kentucky

4. Kevin D. Donohue, University of Kentucky
Current Division
By substituting impedance in for resistance (or admittance for conductance), the current division formula can be generalize to: … … … … … …
Kevin D. Donohue, University of Kentucky

5. Kevin D. Donohue, University of Kentucky
Voltage Division
By substituting impedance in for resistance, the voltage division formula can be generalize to: . .
Kevin D. Donohue, University of Kentucky