ELL100: INTRODUCTION TO ELECTRICAL ENGG. Lecture 10 Course Instructors: J.-B. Seo, S. Srirangarajan, S.-D. Roy, and S. Janardhanan Department of Electrical Engineering, IITD

Complete Response Natural response Forced response Energy storage elements The form of natural response is governed by circuit itself Use poles and zeros of the impedance function Forced response External sources, e.g., batteries or generators The amplitude of forced response is determined by the magnitude of the forcing function and impedance Complete response = Natural response + Forced response

Complete Response Natural response Forced response Energy storage elements The form of natural response is governed by circuit itself Use poles and zeros of the impedance function Forced response External sources, e.g., batteries or generators The amplitude of forced response is determined by the magnitude of the forcing function and impedance Complete response = Natural response + Forced response

Complete Response Natural response Forced response Energy storage elements The form of natural response is governed by circuit itself Use poles and zeros of the impedance function Forced response External sources, e.g., batteries or generators The amplitude of forced response is determined by the magnitude of the forcing function and impedance Complete response = Natural response + Forced response

Complete Response Natural response Forced response Energy storage elements The form of natural response is governed by circuit itself Use poles and zeros of the impedance function Forced response External sources, e.g., batteries or generators The amplitude of forced response is determined by the magnitude of the forcing function and impedance Complete response = Natural response + Forced response

Complete Response Natural response Forced response Energy storage elements The form of natural response is governed by circuit itself Use poles and zeros of the impedance function Forced response External sources, e.g., batteries or generators The amplitude of forced response is determined by the magnitude of the forcing function and impedance Complete response = Natural response + Forced response

Complete Response

Complete Response

Complete Response

Complete Response

Complete Response Write the impedance function (or admittance) Determine the forced response from the forcing func. Identify the natural response from poles and zeros with undetermined constants Add the forced and natural responses and evaluate the undetermined constants

Complete Response Write the impedance function (or admittance) Determine the forced response from the forcing func. Identify the natural response from poles and zeros with undetermined constants Add the forced and natural responses and evaluate the undetermined constants

Complete Response Write the impedance function (or admittance) Determine the forced response from the forcing func. Identify the natural response from poles and zeros with undetermined constants Add the forced and natural responses and evaluate the undetermined constants

Complete Response Write the impedance function (or admittance) Determine the forced response from the forcing func. Identify the natural response from poles and zeros with undetermined constants Add the forced and natural responses and evaluate the undetermined constants

Step response of RL circuit

Step response of RL circuit

Step response of RL circuit

Step response of RL circuit

Step response of RL circuit

Step response of RL circuit

Example

Example

Example

Example

Example Previous solution

Example Previous solution

Example Previous solution

Example Previous solution

Example Previous solution

Example

Example

Example

Example

Example

Step response of RLC circuit

Step response of RLC circuit

Step response of RLC circuit

Step response of RLC circuit

Step response of RLC circuit

Step response of RLC circuit

Step response of RLC circuit

Example – 1

Example – 1

Example – 1

Example – 1

Example – 1

Example – 1

Example – 1

Example – 1

Example – 1

Example – 1

Example – 2

Example – 2

Example – 2

Example – 2

Example – 2

Example – 2

Example – 2

Example – 2

Example – 2

Example – 2

Example – 2

Example – 2

Example – 3

KCL/KVL, Supermesh, Supernode, Superposition Thevenin and Norton theorem, Source transformation Phasor representation & Impedance function KCL, KVL, Thevenin and Norton theorem work with impedance function First-order & Second order circuit Natural response: exponentially decaying Forced response: DC and Sinusoidal forcing function Complete response