
A numerical approach to a linear network derives the load current i from two data cases and solves for constants, yielding i = 0.4 Vs - 0.6.
Compute the equivalent resistance between terminals A and B in a two-port network by identifying series and parallel paths, short circuits, and applying the correct combinations.
Analyze a four-point circuit to find equal potential between C and D, replace with a short, and derive the equivalent resistance between A and B using parallel combinations.
Analyze series and parallel resistor networks to find the equivalent resistance between terminals, handle short circuits, and redraw circuits to simplify calculations.
Learn how to analyze a two-terminal network to find current resistance by identifying series and parallel paths, calculating equivalent resistances, and simplifying complex circuits to obtain a final three-ohm resistance.
Compute the equivalent conductance between terminals A and B by analyzing series and parallel connections under open and closed switch conditions, yielding an effective conductance of 20 million siemens.
Use star–delta transformation to simplify the network and find the equivalent resistance between the terminals, which equals 23 ohms.
Apply KCL and KVL to analyze a two-network dc circuit, determine currents through resistors, and compute the power delivered by a voltage source.
Compute power in a five-element circuit using KCL and KVL, identify source directions, and determine absorbed versus delivered power across current and voltage sources.
Solve a Kirchhoff's laws problem by analyzing a series circuit with a 100-volt supply and a provided voltage–current relation to determine the unknown resistance.
Calculate the power in each circuit element, determine whether it is delivered or absorbed by analyzing current direction relative to voltage terminals, including dependent and independent sources.
Apply Kirchhoff's voltage law to determine the voltage source E by selecting a reference point and summing around the loop, yielding E = -16 V in this example.
This lecture applies KCL and KVL to determine the voltage between two points in a circuit with multiple sources, using a reference node and clear sign conventions.
Apply kcl and kvl to a multi-branch circuit, identify unknown currents at nodes, and compute branch and node voltages through loop analysis.
Perform numerical mesh analysis to determine the current delivered by multiple sources in a circuit, using a clockwise mesh current approach and solving mesh equations with periphery resistances.
Apply Kirchhoff's law to compute the potential difference between points A and B in a multi-loop circuit, using loop currents, sources, and resistances.
Learn how to apply nodal analysis to a circuit by selecting a reference node, identifying independent junctions, formulating nodal equations, and solving for node voltages and branch currents.
Learn to solve a circuit with independent sources using mesh analysis, handling a current-dependent voltage source, identifying three meshes, assigning currents, and deriving IUE.
Explore numerical mesh analysis with dependent sources in a three-mesh circuit, converting the dependent sources to expressions in x and solving for i1, i2, i3.
Apply numerical methods to Thevenin's theorem in a circuit with independent sources, using mesh currents to compute the equivalent resistance and the voltage between A and B.
Use Thevenin's theorem to determine the load power in a two-port network by computing open-circuit voltage and short-circuit current. Then calculate the load current and power dissipation.
Apply mesh analysis and Thevenin's theorem to calculate the load current by deriving the open-circuit voltage and Thevenin resistance, then verify via short-circuiting.
Use Thevenin's theorem to analyze a circuit with independent voltage and current sources, compute open-circuit voltage, short-circuit current, and the equivalent resistance to determine currents.
Apply Thevenin's theorem to a circuit with independent and dependent sources to determine the load current I_ex. Use open-circuit and short-circuit methods to build the equivalent.
Use the superposition theorem to compute v_ab for a circuit with independent sources. Convert current sources to equivalent voltage sources, then apply mesh analysis for each source and sum results.
Apply Norton theorem to determine the Norton equivalent between terminals. Calculate the short-circuit current ISC by analyzing independent voltage and current sources and simplifying the circuit into an equivalent resistance.
Learn to maximize power transfer by converting parallel current sources to voltage sources, simplifying the circuit, and applying the maximum power transfer theorem to calculate the load power.
Learn to maximize power transfer by replacing the load with its Thevenin equivalent, analyzing open-circuit voltage and equivalent resistance to determine the optimal power delivery.
Calculate the current through R2 and its voltage drop using Millman's theorem, by converting to conductances and finding the equivalent resistance and voltage between terminals A and B.
OBJECTIVES
1. Calculate the Laplace transform of common functions
using the definition and the Laplace transform tables
2. Laplace-transform a circuit, including components with non-zero initial conditions.
3. Analyze a circuit in the s-domain
4. Check s-domain answers using the Initial Value Theorem and Final Value Theorem.
5. Inverse Laplace-transform the result to get the time-domain solutions; be able to identify the forced and Natural response components of the time-domain solution.
6. Become familiar with the Frequency Response of Series Resonant Circuits and how to calculate the Resonant frequency.
7. Be familiar with the terms Bandwidth and Quality factor.
8. Demonstrate an understanding of the impact of Quality Factor on the Frequency Response of a Series or Parallel Resonant Circuit.
9. To understand about Two – Port networks and its functions.
10. To understand the different between z- Parameter, y-Parameter, ABCD- Parameter.
11. To investigate and analysis the behavior of Two – Port networks.
Downloadable document added for each topic to increase understanding and for future reference.
2 quizzes added at the end of the course to test your understanding of each topic.
Intended Outcomes for the course:
Upon completion of the course students should be able to:
1. Apply knowledge of Mathematics, Science and Engineering to the analysis and design of electrical circuits.
2. Identify, formulate and solve engineering problems in the area Circuits and Systems.
3. Analyze the solution and infer the authenticity of it.
4. Differentiate One Port and Two Port network devices.
5. Calculate two port network parameters such as z, y, ABCD and Hybrid Parameters for given electrical network.
6. Simplify the complex network such as Cascade, Parallel networks using fundamental two port network parameters.
7. Find the various Driving point & Transfer functions of Two Port network
8. Obtain transfer functions of circuits and analysis of stability using poles of the transfer function
9. Analyze the frequency response of circuits and to obtain the correlation between time-domain and frequency domain response Specifications
10. Describe how resistance and the L/C ratio affect the graph of current versus frequency for a series-resonant circuit.
11. Calculate Capacitor, Inductor, and Resistor voltages at Resonance in a Series-Resonant circuit.
12. Calculate the bandwidth of a resonant circuit and describe how the quality factor Q affects the sensitivity and selectivity of a series-resonant circuit
13. Draw the graph of impedance, total current and output voltage versus frequency for a parallel-resonant circuit.
14. Describe the effect that the internal resistance of the source has on the selectivity of a parallel-resonant circuit.