Passive elements in the frequency domain Consider a resistor, R, in the time domain i + v - ECE 201 Circuit Theory I

Taking the Phasor Transform, The Phasor Voltage is equal to the Resistance times the Phasor Current ECE 201 Circuit Theory I

Phase Information The voltage has the same phase as the current – there is no phase shift. ECE 201 Circuit Theory I

Consider an Inductor, L i + v - ECE 201 Circuit Theory I

ECE 201 Circuit Theory I

Compare the resistor and inductor + v - + v - Treat jωL as if it were an R ECE 201 Circuit Theory I

Phasor Diagram Im Re V “leads” I by 90 or I “lags” V by 90 j = 190 ECE 201 Circuit Theory I

Phase information ECE 201 Circuit Theory I

Consider a capacitor, C i + v - ECE 201 Circuit Theory I

ECE 201 Circuit Theory I

Compare the resistor and capacitor + v - + v - Treat 1/jωC as if it were an R ECE 201 Circuit Theory I

Phasor diagram Im Re I “leads” V by 90 or V “lags” I by 90 j = 190 ECE 201 Circuit Theory I

Phase information ECE 201 Circuit Theory I

ELI the ICE man Phasor Diagram Capacitor, C Inductor, L V(E) leads I ELI I leads V(E) ICE ECE 201 Circuit Theory I