Capacitors and inductorscarmenere.ucsd.edu/.../4to5capacitor-inductor.pdfCapacitor behaves as open...
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129MAE140 Linear Circuits
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Capacitors and inductors
1. New circuit elements that are able to store energyDynamic elements, i.e., change with time
2. Allow to design circuits that perform integration anddifferentiationMake possible signal processing operations in modern
communication and audio equipment
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130MAE140 Linear Circuits
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Capacitors
Defining relationship for the capacitorq(t)=CvC(t)
C is capacitance, unit is farad (F), range 10-12 - 10-3
i-v relationshipiC(t) = dq/dt =CdvC/dt
If vC is constant then iC=0. Capacitor behaves asopen circuit under dc excitations
Power pC(t) =C/2 dvC
2/dt
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131MAE140 Linear Circuits
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Inductors
Defining relationship for the inductorλ(t)=LiL(t), λ(t) is flux linkage
L is inductance, unit is henry (H), range 10-6 - 10-3
i-v relationshipvL(t) = dλ /dt =LdiL/dt
If iL is constant then vL=0. Inductor behaves as shortcircuit under dc excitations
Power pL(t) =L/2 diL
2/dt