Linear Electric Circuits

Language of instructionGerman


Preliminary information

Welcome to the ILIAS site of the course Linear Electrical Networks (LEN) - We warmly welcome you to the start of studies in the winter semester 2023/24 at KIT!

In theintroductory exerciseon Wednesday, 25.10.2023 at 14:00 (Daimler lecture hall, Geb. 10.21), we will give you an overview of what to expect in the coming months in this course: structure, contents, organizational matters, and more.

We will provide all participants of the event with a script in electronic form free of charge. You can obtain this via the ILIAS page of the event.

The firstexercise for the lecture LENwill take place on 25.10.2023.
Instructor:Dr.-Ing. Stefan Wünsch
Consultation hours by appointment. Please register in advance by email.

Please send inquiries regarding the course Linear Electrical Networks to the following email address:

Each listener of the course "Linear Electrical Networks" will be provided with a script of the course in electronic form free of charge. You can find this on the ILIAS page of the course.
Direct access to the ILIAS course is possible without a password..


Networks with complex impedances: Analysis of interconnections of multiple independent sources, R, L, C, controlled sources and operational amplifiers.

Network analysis: branch current method, mesh current method, node potential method, matrix representation, superposition method

Network transformations: Star-triangle, formal methods for computing linear networks, complete tree, graphs

Ideal operational amplifier: emitter follower, negative feedback, non-inverting voltage amplifier, inverting voltage amplifier, inverting adder, differential amplifier, operational amplifier in simple linear networks

Complex ac theory: complex impedance vector, conductance vector, voltage vector and current vector of simple networks

Power: active power, apparent power, reactive power, complex power, measurement techniques, rms values, impedance matching

Bridge circuits: Wheatstone, Maxwell-Wien, and Wien bridges.

Oscillating circuits: Series resonance, parallel resonance, frequency response, Q, detuning, bandwidth

Bipoles: active bipoles, ideal current and voltage source, equivalent bipole sources, Thevenin/Norton equivalent circuit, passive equivalent bipoles, power matching, power factor correction

Four poles: conductance matrix and (-replacement circuit), impedance matrix and T-replacement circuit, chain matrix, impedance transformation, (characteristic impedance)

locus diagrams: complex Z-plane with omega as running parameter, simple R-L-C circuits, high pass, low pass, band pass

Bottom diagram: logarithmic voltage and current ratio, logarithmic power ratio, logarithmic frequency scale, typical pictures for high pass and low pass, operational amplifier with RLC

Transformer: k, ü, L1, L2, M, transformer equations, transformer with arbitrary load, using the table in the formulary to calculate voltages, currents and impedances, simple equivalent circuit, quadrupole representation, frequency response, power transformer, impedance matching

Three-phase current: pointer diagram for star-star circuit, arbitrary or symmetrical load impedance, power transfer, reactive power matching

  • The following topics are not included in this course: non-sinusoidal processes and Fourier series expansion, switching processes, homogeneous and inhomogeneous differential equations for one variable, and coupled differential equations.