ECE201Lect-5

ECE201Lect-5 - ECE201 Lect-5 1 Phasor Relationships for...

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Unformatted text preview: ECE201 Lect-5 1 Phasor Relationships for Circuit Elements (8.4); Impedance and Admittance (8.5) Dr. Holbert ECE201 Lect-5 2 Phasor Relationships for Circuit Elements Phasors allow us to express current-voltage relationships for inductors and capacitors much like we express the current-voltage relationship for a resistor. A complex exponential is the mathematical tool needed to obtain this relationship. ECE201 Lect-5 3 I-V Relationship for a Resistor Suppose that i(t) is a sinusoid: i(t) = I M e j ( t+ 29 Find v(t) R v(t) + i(t) ) ( ) ( t i R t v = ECE201 Lect-5 4 Computing the Voltage j t j M e I R t i R t v + = = ) ( ) ( j t j M e V t v + = ) ( R I V = ECE201 Lect-5 5 Class Example Learning Extension E8.5 ECE201 Lect-5 6 I-V Relationship for a Capacitor Suppose that v(t) is a sinusoid: v(t) = V M e j ( t+ 29 Find i(t) C v(t) + i(t) dt t dv C t i ) ( ) ( = ECE201 Lect-5 7 Computing the Current dt e dV C dt t dv C t i j t j M + = = ) ( ) ( ) ( ) ( t Cv j e CV j t i j t j M = = + ECE201 Lect-5...
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ECE201Lect-5 - ECE201 Lect-5 1 Phasor Relationships for...

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