'What is nodal analysis' Video Lecture

Course Video Lectures Preliminaries Current Voltage Electrical elements and circuits Kirchhoff\'s current law(KCL) Kirchhoff\'s Voltage law(KVL) Voltage Source Current Source Resistor Capacitor Inductor Mutual Inductor Linearity of Elements Solutions to the assignment on units 1 and 2 Series connection-Voltage sources in series Series connection of R, L, C, current source Elements in parallel Current source in series with an element; Vol.. Extreme cases: Open and short circuits Summary Voltage controlled voltage source(VCVS) Voltage controlled current source(VCCS) Current controlled voltage source(CCVS) Current controlled current source(CCCS) Realizing a resistance using a VCCS or CCCS Scaling an element\'s value using controlled .. Example calculation Solution to the assignment on units 3 and 4 Power and energy absorbed by electrical eleme.. Power and energy in a resistor Power and energy in a capacitor Power and energy in an inductor Power and energy in a voltage source Power and energy in a current source Goals of circuit analysis Number of independent KCL equations Number of independent KVL equations and branc.. Analysis of circuits with a single independen.. Analysis of circuits with multiple independen.. Superposition: Example Solution to the assignment on units 5 and 6 What is nodal analysis Setting up nodal analysis equations Structure of the conductance matrix How elements appear in the nodal analysis for.. Completely solving the circuit starting from .. Nodal analysis example Matrix inversion basics Nodal analysis with independent voltage sourc.. Supernode for nodal analysis with independent.. Nodal analysis with VCCS Nodal analysis with VCVS Nodal analysis with CCVS Nodal analysis with CCCS Nodal analysis summary Solution to the assignment on units 7 and 8 Planar circuits Mesh currents and their relationship to branc.. Mesh analysis Mesh analysis with independent current source.. Mesh analysis with current controlled voltage.. Mesh analysis with current controlled current.. Mesh analysis using voltage controlled source.. Nodal analysis versus Mesh analysis Superposition theorem Pushing a voltage source through a node Splitting a current source Substitution theorem: Current source Substitution theorem: Voltage source Substituting a voltage or current source with.. Solutions Extensions to Superposition and Substitution .. Thevenin\'s theorem Worked out example: Thevenin\'s theorem Norton\'s theorem Worked out example: Norton\'s theorem Maximum power transfer theorem Preliminaries. Two port parameters y parameters y parameters: Examples Solutions. z parameters z parameters: Examples h parameters h parameters: Examples g parameters g parameters: Examples Calculations with a two-port element Calculations with a two-port element. Degenerate cases Relationships between different two-port para.. Equivalent circuit representation for two por.. Reciprocity Proof of reciprocity of resistive two-ports Proof for 4-terminal two-ports Reciprocity in terms of different two-port pa.. Reciprocity in circuits containing controlled.. Examples Solutions.. Feedback amplifier using an opamp Ideal opamp Negative feedback around the opamp Finding opamp signs for negative feedback Example: Determining opamp sign for negative .. Analysis of circuits with opamps Inverting amplifier Summing amplifier Instrumentation amplifier Negative resistance and Miller effect Finding opamp signs for negative feedback-cir.. Opamp supply voltages and saturation KCL with an opamp and supply currents Solutions... Circuits with storage elements(capacitors and.. First order circuit with zero input-natural r.. First order RC circuit with zero input-Exampl.. First order circuit with a constant input General form of the first order circuit respo.. First order RC circuit with a constant input-.. First order circuit with piecewise constant i.. First order circuit with piecewise constant i.. First order circuit-Response of arbitrary cir.. Summary: Computing first order circuit respon.. Does a capacitor block DC? Finding the order of a circuit First order RC circuits with discontinuous ca.. Summary: Computing first order circuit respon.. First order RL circuits First order RL circuit with discontinuous ind.. First order RC circuit with an exponential in.. First order RC response to its own natural re.. First order RC response to a sinusoidal input First order RC response to a sinusoidal input.. Summary: Linear circuit response to sinusoida.. Three methods of calculating the sinusoidal s.. Calculating the total response including init.. Why are sinusoids used in measurement? Second order system natural response Second order system as a cascade of two first.. Second order system natural response-critical.. Generalized form of a second order system Numerical example Series and parallel RLC circuits Forced response of a second order system Steady state response calculation and Phasors Phasors cont\'d Magnitude and Phase plots Magnitude and phase plotes of a second order .. Maximum power transfer and Conjugate matching