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Unformatted text preview: ance as vL (t ) L diL (t ) L I m cos(t ) dt Putting both current and voltage in phasor form: Current phasor will be I L I m 900 Voltage phasor will be VL LI m Vm We can rewrite the voltage equation as VL LI m L900 I m 900 ZL ×I L . Z L L900 j L is the impedance of the inductance. And VL Z L I L is the Ohm’s law in phasor form. 83 EE1002 Introduction to Circuits and Systems Impedance of Capacitance Similar to inductances, for capacitances, if current and voltages are sinusoidal, the phasors are related by Vc Z c I c It can be shown that Z c j 1
1 900 . C jC C The impedance of capacitance is also purely imaginary. Impedance of Resistance For a resistance, the phasors are related by VR RI R . This implies, the sinusoidal voltage and current for a resistor will be in phase. Impedance in general is a complex number where as resistance is a real number. Impedances which are purely imaginary are called reactances. R L ZR R Z L jL C
j C Circuit Analysis with phasors and Complex Impedances Kirchoff’s laws in Ph...
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This document was uploaded on 01/20/2014.
- Winter '14