Electrical Circuits Ι

1. Electrical quantities and circuit elements: International System of Units (SI), voltage and current, power and energy, voltage and current sources, electrical resistance (Ohm’s law), Kirchhoff’s laws, analysis of a circuit that contains dependent sources.
2. Simple ohmic elements: Resistors in series and parallel, voltage divider circuits, voltage and current measurement, resistance measurement–Wheatstone bridge, equivalence of triangle with star circuits (Δ-to-Υ).
3. Techniques for circuit analysis: Method of voltage nodes with independent and/or dependent sources and special cases, method of current loops with independent and/or dependent sources and special cases, comparison of the two methods.
4. Self-inductance, capacitance: Series and parallel combinations of inductances and capacitances, mutual inductance.
5. First order circuits RL and RC: Natural and step response, the general solution for step and natural responses, Sequential Switches.
6. Natural and step response of RLC circuits: Natural response of parallel RLC circuit, response formats, sub-, normal and hyper-damping, step response of parallel RLC circuit, natural and step response of series RLC circuit. 
7. Circuit analysis in the permanent sinusoidal condition (PSC): sinusoidal source and response, phasor, passive circuit elements in the frequency field, Kirchhoff laws in the frequency field, connection simplifications in series, parallel and triangle- star, source transformations and equivalent Thévenin and Norton circuits, node voltage methods and current loops at PSC, ideal transformer, phasor diagrams.

At successful end of the course the student will be able to:

• understand, use and convert SI and empirical units in electric circuits,
• calculate the power for every element of a simple circuit,
• recognize series or parallel connections of resistors and calculate the total resistance,
• use voltage divider and current divider to solve simple circuits,
• analyze a Wheatstone bridge and use it to measure an unknown resistance,
• use Δ – Y transformation to solve simple circuits,
• use the method of voltage nodes and the method of current loops to solve a circuit,
• judge which method is preferable for each circuit,
• understand the source transformation and be able to use it for solving a circuit,
• understand the meaning of and be able to solve the equivalent Thevenin and Norton circuits of a complex circuit,
• understand and estimate the value of the load which satisfies the condition for maximum power transfer,
• know and be able to use the equations for the voltage, current, power and energy in an inductive coil or a capacitor as well as in parallel or serial combinations of such,
• understand of the concept of the mutual inductance and be able to use the dot convention to form the current loop equations for a circuit that contains magnetically coupled coils,
• calculate the transitional response of RL and RC circuits as well as their response in step excitation,
• be able to analyze a circuit with successive switching function,
• calculate the transitional response and the response to step excitation of parallel and series RLC circuits,
• understand the concept of a phasor and be able to use it to transform a circuit with sinusoidal voltage source in the frequency field,
• be able to use all the circuit analysis techniques (Kirchhoff’s laws, series, parallel and Δ - Υ simplifications, voltage and current dividers, Thevenin και Norton equivalents, voltage node methods and current loop methods) and solve a circuit in the frequency field, 
• be able to analyze circuits that contain transformers using phasor methods.

None

• Three written progress exams (25%)
• Final written problem-solving exam (35%)
• Weekly laboratory assessments with final written report
(40%)

1. Nilsson/Riedel “ELECTRIC CIRCUITS” 9^th Edition, Testator (Publisher): GRIGORIOS CHRYSOSTOMOU FOUNTAS, Book code in EUDOXUS: 50657746 
2. Papadopoulos K. “Analysis of Electric circuits” 2^nd Edition, Testator (Publisher): TSOTRAS AN ATHANASIOS, Book code in EUDOXUS: 68374128
3. Alexander C., Sadiku M. “Electric circuits” 4^th Edition, Testator (Publisher): A. Tziola & Sons Ltd Publications, Book code in EUDOXUS: 18548946