ECE 201 Circuit Theory I1 Passive elements in the frequency domain Consider a resistor, R, in the time domain + v - i.

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Passive Circuit Elements in the Frequency Domain

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Presentation transcript:

ECE 201 Circuit Theory I1 Passive elements in the frequency domain Consider a resistor, R, in the time domain + v - i

ECE 201 Circuit Theory I2 Taking the Phasor Transform, The Phasor Voltage is equal to the Resistance times the Phasor Current

ECE 201 Circuit Theory I3 Phase Information The voltage has the same phase as the current – there is no phase shift.

ECE 201 Circuit Theory I4 Consider an Inductor, L + v - i

ECE 201 Circuit Theory I5

6 Compare the resistor and inductor + v - ii Treat jωL as if it were an R

ECE 201 Circuit Theory I7 Re Im Phasor Diagram j = 1  90  V “leads” I by 90  or I “lags” V by 90 

ECE 201 Circuit Theory I8 Phase information

ECE 201 Circuit Theory I9 Consider a capacitor, C i + v -

ECE 201 Circuit Theory I10

ECE 201 Circuit Theory I11 Compare the resistor and capacitor i i + v - Treat 1/jωC as if it were an R

ECE 201 Circuit Theory I12 Phasor diagram Im Re j = 1  90  I “leads” V by 90  or V “lags” I by 90 

ECE 201 Circuit Theory I13 Phase information

ECE 201 Circuit Theory I14 ELI the ICE man Phasor Diagram Inductor, L Capacitor, C V(E) leads I ELI I leads V(E) ICE