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Component

Types of Components#

Type Symbol Function Linearized
Resistivity resistivity \(f_R(u,i)\) \(u = U_0 + R \cdot i\)
Capacity capacity \(f_C(u,q)\) \(q = Q_0 + C \cdot u\)
Inductivity inductivity \(f_L(i,\Phi)\) \(\Phi = \Phi_0 + L \cdot i\)
Memristivity memristivity \(f_M(q,\Phi)\) \(\Phi = \Phi_0 + M \cdot q\)

Two Terminals#

Component Function Chart
Open Circuit
opencircuit
\(u \in \R\)
\(i = 0\)
opencircuit
Short Circuit
shortcircuit
\(u = 0\)
\(i \in \R\)
shortcircuit
Voltage Source
voltage_source
\(u = U_0\)
\(i \in \R\)
source_voltage
Current Source
current_source
\(u \in \R\)
\(i = I_0\)
source_current
Nullator
nullator
\(u = 0\)
\(i = 0\)
nullator
Norrator
norrator
\(u \in \R\)
\(i \in \R\)
norrator
Resistor
resistor
\(u = R \cdot i\)
\(i = \frac{1}{R} \cdot u\)
resistor
Capacitor
capacitor
\(I = C \cdot\dot U\)
\(C = \frac{\diff Q}{\diff U}\)
Inductor
inductor
\(U = L \cdot\dot I\)
\(L = \frac{\diff \Phi}{\diff U}\)
ideal Diode
diode
\(\begin{array}{ll} u = 0 \text{ if } i > 0 \\ i = 0 \text{ if } u < 0\end{array}\) diode_ideal
reale Diode
diode_real
\(\begin{array}{ll} u_D = u_T \cdot \ln \left(\frac{i_D}{I_S} + 1 \right) \\ i_D = I_S \cdot \left( \exp \left(\frac{u_D}{U_T}\right) -1 \right) \end{array}\)
LED
led
\(i = I_S \cdot \left( \exp \left(\frac{u_D}{U_T}\right) -1 \right) - i_L\)

Three Terminal#

More Terminal#

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