Series/Parallel Combination Circuits

Slides:

Advertisements

Similar presentations

Advertisements

1 ECE 221 Electric Circuit Analysis I Chapter 12 Superposition Herbert G. Mayer, PSU Status 11/26/2014 For use at Changchun University of Technology CCUT.

Unit 8 Combination Circuits

A route for the flow of electricity that has elements of both parallel and series circuits, and also multiple batteries that mess with our heads!

Unit 8 Combination Circuits

Unit 7 Parallel Circuits

THEVENIN’S THEOREM Thevenin’s theorem permits the reduction of a two-terminal dc network with any number of resistors and sources (Complex Circuit) to.

1 Series Parallel Circuits Benchmark Companies Inc PO Box Aurora CO

Lecture 91 Single Node-Pair Circuits and Current Division.

BASIC LAWS Ohm’s Law Kirchhoff’s Law Series resistors & voltage division Parallel resistors & current division Source Transformation Y -  transformation.

ECE 201 Circuit Theory I1 Resistors in Parallel Resistors connected at a single node pair Voltage across each resistor is the same.

Systematic Circuit Analysis Nodal Analysis Chapter 4 Section 1.

ECE 3183 – EE Systems Chapter 2 – Part A Parallel, Series and General Resistive Circuits.

DC CIRCUIT ANALYSIS: NODE AND MESH METHOD Current Sources AND Source Conversions Current Sources in Parallel AND Series Branch-Current Analysis Mesh Analysis.

Lesson 23 AC Source Tx AC Thèvenin

Circuits Series and Parallel. Series Circuits Example: A 6.00 Ω resistor and a 3.00 Ω resistor are connected in series with a 12.0 V battery. Determine.

If current is disrupted through one element (e.g. the light goes out) If current is disrupted through one element (e.g. the light goes out) then they.

Lecture 5 Review: Circuit reduction Related educational modules:

Lecture 2 Basic Circuit Laws

Lecture 2: Resistive Circuits Nilsson 2.5, , 3.7 ENG17 : Circuits I Spring April 2, 2015.

Kevin D. Donohue, University of Kentucky

Objective of Lecture Explain mathematically how resistors in series are combined and their equivalent resistance. Chapter 2.5 Explain mathematically how.

RESISTIVE CIRCUITS LEARN TO ANALYZE THE SIMPLEST CIRCUITS THE VOLTAGE DIVIDER THE CURRENT DIVIDER SERIES/PARALLEL RESISTOR COMBINATIONS - A TECHNIQUE TO.

EENG 2610: Circuits Analysis Class 3: Resistor Combinations, Wye-Delta Transformations, Dependent Sources Oluwayomi Adamo Department of Electrical Engineering.

~Moving Charge Put to Use

Chapter 20 Pretest Circuits. 1. If the batteries in a portable CD player provide a terminal voltage of 12 V, what is the potential difference across.

Series-Parallel Circuits

ECE201 Lect-31 Single Loop Circuits (2.3); Single-Node-Pair Circuits (2.4) Dr. Holbert August 28, 2001.

Section 2: Series and Parallel Circuits. Series Circuits Picture of Series Circuit:Properties: 1)Current: 2) Voltage: 3) Equivalent Resistance:

1 HVACR216 - Hydronics Basic Circuits and Ohms Law.

4.2.5 Parallel Circuits Wiring for Voltage. Definitions parallel circuit – a circuit in which two or more elements are connected so that each has its.

Introduction To Engineering Electrical Circuits - 2 Agenda Kirchhoff’s Law Resistors & Resistance Wheatstone Bridge.

SERIES RESISTORS AND VOLTAGE DIVISION In Fig the two resistors are in series, since the same current i flows in both of them. Applying Ohm’s law.

Circuits and Electronics Midway in Chapter 2 Resistor Combinations.

Circuit Theory Tashfeen Khan. Introduction This chapter mainly deals with laws that are used to find currents, voltages and resistances in a circuit.

IB Physics 12 Mr. Jean November 12 th, The plan: Video clip of the day Series & Parallel Circuits.

CH Review Series resistors have the same current; the total voltage is “divided” across the resistors. Parallel resistors have the same voltage;

How to Calculate Total Circuit Current in a Series Circuit ?

EGR 101 Introduction to Engineering I1 Resistors in Parallel Resistors connected at a single node pair Voltage across each resistor is the same.

Circuits. In circuits, elements are connected by wires. Any connected region of wire has the same potential. (same color = same potential) The potential.

What is the equivalent resistance of this circuit? What is the current running through the first resistor? What is the potential difference drop across.

Series and Parallel.  a single resistance that can replace all the resistances in an electrical circuit while maintaining the same current when connected.

SINGLE LOOP CIRCUITS A single loop circuit is one which has only a single loop. The same current flows through each element of the circuit-the elements.

Ohm’s Law Resistance in Series Circuits

Lesson 5: Series-Parallel Circuits

~Moving Charge Put to Use

Electrical Circuits ~Moving Charge Put to Use The Circuit All circuits, no matter how simple or complex, have one thing in common, they form a complete.

Kevin D. Donohue, University of Kentucky1 Additional Analysis Techniques for Linear Circuits Models and Equivalent Circuits for Analysis and Design.

EXAMPLE : The voltage drop across 9k resistor V1 = (9/9+3) x 12 =9/12 x 12 =9 volts.

Solving Problems 14.1 & A circuit contains 5-ohm, 3-ohm, and 8-ohm resistors in series. What is the total resistance of the circuit? Rt = R1.

EKT101 Electric Circuit Theory

Lesson 19: AC Source Transformation and Nodal Analysis

Electric Circuits (EELE 2312)

Solving Circuits.

Lesson 7: Current Sources / Source Conversion

ECE 3301 General Electrical Engineering

Previous Lecture 22 Branch Current Method Loop Current Method.

NODAL ANALYSIS VA = ? VB = 0V VC = 12V VD = 6V - +

3.1 Resistors in Series When two elements connected at a single node, they are said to be in series Series-connected circuit elements carry the same.

Voltage and Current Laws

Lecture 2 - Circuit Elements and Essential Laws

Thévenin’s Theorem.

One Thing at a Time Series Circuits.

Today, we learn some tools derived from the 3 basic laws:

Lecture 2 - Circuit Elements and Essential Laws

Resistors in Parallel Resistors connected at a single node pair

Simplifying Circuits.

Series and Parallel Circuits

Circuit Principles Kirchhoff’s Current Law (KCL)

Circuit w/ Dependent Source Example

Presentation transcript:

Series/Parallel Combination Circuits Series and Parallel Elements, Simplification, and Problem Solving Strategies. Kevin D. Donohue, University of Kentucky

Series and Parallel Elements Two elements are connected in series if and only if they have a common node to which no other elements are attached. Two elements are connected in parallel if and only if they have common nodes at both terminals. R1 R2 Is R3 Vs R1 R2 R3 Kevin D. Donohue, University of Kentucky

Equivalent Resistance Series and parallel resistors can be combined into one element with an equivalent resistance. Equivalent resistance refers to a single resistance replacing a multiple resistor subcircuit such that it draws the same current and produces the same voltage drop. Apply Ohm’s law to derived formula for finding equivalent resistance. Kevin D. Donohue, University of Kentucky

Series and Parallel Equivalents RN  Req RN  Req R1 R2 Kevin D. Donohue, University of Kentucky

Series and Parallel Sources Voltage sources in series can be combined into a single voltage source: Va Vb Va+Vb+Vc Vc Current sources in parallel can be combined into a single current source: Ia Ib Ic Ia + Ib + Ic Kevin D. Donohue, University of Kentucky

Kevin D. Donohue, University of Kentucky Examples Simplify complex circuits containing independent sources and resistors to a minimum number of equivalent elements. Kevin D. Donohue, University of Kentucky

Kevin D. Donohue, University of Kentucky Examples Find voltages and currents in all branches of circuits containing resistors and independent sources through simplifying and expanding the circuit Voltages and currents in the original circuit can be determined by Finding currents and voltages of the simplified circuit Expanding back to the original configuration while applying current and voltage division to determine their current and voltage values. Kevin D. Donohue, University of Kentucky

Single Loop Circuits with Dependent Sources Since current is the the same throughout the entire loop, express all unknowns in terms of the loop current. Find Vo in circuit below: 2  120  100Vd + Vd - + Vo - 3  6 V Kevin D. Donohue, University of Kentucky

Single Node-Pair Circuits with Dependent Sources Since voltage is the the same across every element, express all unknowns in terms of the node voltage difference. Find Io in circuit below: Io Id 0.8Id 2  6 A 3  Kevin D. Donohue, University of Kentucky