Physics > Alternating Current > 4.0 Circuit element in AC circuit
Alternating Current
1.0 Introduction
2.0 Alternating current and alternating voltage
2.1 Instantaneous current and voltage
2.2 Mean or average current and voltage
2.3 Root mean square current and voltage
2.4 Form factor
3.0 Some important terms
4.0 Circuit element in AC circuit
4.1 Pure resistor circuit
4.2 Pure inductor circuit
4.3 Pure capacitor circuit
4.4 Series $L-R$ circuit
4.5 Series $C-R$ circuit
4.6 Series $L-C-R$ circuit
4.7 Resonance series $L-C-R$ circuit
4.8 Quality factor
4.9 Summary
5.0 Power in AC circuit
4.9 Summary
2.2 Mean or average current and voltage
2.3 Root mean square current and voltage
2.4 Form factor
4.2 Pure inductor circuit
4.3 Pure capacitor circuit
4.4 Series $L-R$ circuit
4.5 Series $C-R$ circuit
4.6 Series $L-C-R$ circuit
4.7 Resonance series $L-C-R$ circuit
4.8 Quality factor
4.9 Summary
|
Circuit element |
Amplitude relation |
Circuit quantity |
Impedance |
Phase of $V$ |
Phase of $i$ |
|
Resistor |
$${i_0} = \frac{{{V_0}}}{R}$$ |
$$R$$ |
$$Z = R$$ |
same as $i$ |
same as $V$ |
|
Capacitor |
$${i_0} = \frac{{{V_0}}}{X_C}$$ |
$${X_C} = \frac{1}{{\omega C}}$$ |
$$Z = {X_C}\left( { - \widehat j} \right)$$ |
lags $i$ by $90^\circ $ |
leads $V$ by $90^\circ $ |
|
Inductor |
$${i_0} = \frac{{{V_0}}}{X_L}$$ |
$${X_L} = \omega L$$ |
$$Z = {X_L}\left( {\widehat j} \right)$$ |
leads $i$ by $90^\circ $ |
lags $V$ by $90^\circ $ |
