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Electrical Circuits
Resistive Circuits
Power and Energy
Solving a Simple Circuit of Three Elements - A simple circuit is solved and power absorbed or supplied by each element is determined. KCL as well as Ohm's law are used in solving the circuit. positive sign convention is used in determining element powers. It is shown and discussed how a source, here current source, can be neither absorbing or supplying power. It is also mentioned that resistors are passive elements and always absorb power/energy.
Power and Energy Conservation - A circuit with two sources and three two port elements is studied. Some voltages and currents are given. Voltage of the voltage source is unknown. We need to analyze the circuit, find power of other elements and use the energy conservation to determine the power of the voltage source.
Circuit Containing Only Sources - We go through solving a circuit which only containes independent sources: two voltage sources and two current sources. KVL and KCL are used to determine voltages and currents.
KVL / KCL
Circuit Containing Only Sources - We go through solving a circuit which only containes independent sources: two voltage sources and two current sources. KVL and KCL are used to determine voltages and currents.
Thevenin’s and Norton’s Theorems/Equivalent
Voltage/Current Division
Solve Using Current Division Rule - A DC resistive circuit with two sources, one voltage source, one current source both independent solved using current division method.
Voltage Divider – Voltage Division Rule - Voltage Division Rule: The voltage is divided between two series resistors in direct proportion to their resistance. This simple rule can be used in solving simple circuits or in simplifying the solution of complicated ones. In this post, the voltage divider circuit is studied and some examples are solved to show how this rule can be deployed in solving circuits.
Problem 1-16: Voltage Divider - In this solved problem, four circuits are solved using voltage divider (the voltage division rule). Problems are arranged from simple ones to more challenging ones. It is shown how voltage divider can be used to solve simple problems.
Circuit Reduction
Superposition
Superposition Method – Circuit With Dependent Sources - A circuit with two independent and two dependent sources is solved by the superposition method. Independent sources are turned off one at a time and the contribution of the on source is calculated. Dependent sources should not be turned off.
Mesh Analysis
Mesh (Current) Analysis Problem - A circuit with four meshes solved using the mesh analysis. The circuit has two current sources, one voltage source and six resistors.
Mesh Analysis – Supermesh - The mesh analysis used to solve the circuit which has a supermesh. After solving the circuit, power of sources determined.
Nodal Analysis
Nodal Analysis – Circuit with Dependent Voltage Source - A 6-node circuit is solved with the nodal analysis. It contains one dependent voltage source, two independent voltage sources, two independent current sources and some resistors. The dependent causes two nodes to form a supernode.
Nodal Analysis – 6-Node Circuit - A 6-node circuit is solved by the nodal analysis method and powers of voltage and current sources are calculated. The system of linear equations has three equations with three unknowns.
Nodal Analysis – Dependent Voltage Source - A circuit with 3 nodes, one dependent voltage source, two current sources and three resistors is solved by the nodal analysis. The PSpice simulation result is also illustrated.
Nodal Analysis – Dependent Current Source - Nodal analysis method is deployed to solve a four-node circuit which has a dependent current source. The target is to find the power of the controlled current source.
Nodal Analysis – Supernode - This is a circuit with two voltage sources and two current sources. Nodal analysis method is used to solve the circuit. One of the voltage source forms a supernode between two nodes.