# Besides resistors, capacitors are one of the most common electronic components that you will encounter. Sometimes capacitors are components that one

Size: px
Start display at page:

Download "Besides resistors, capacitors are one of the most common electronic components that you will encounter. Sometimes capacitors are components that one"

Transcription

1 1

2 Besides resistors, capacitors are one of the most common electronic components that you will encounter. Sometimes capacitors are components that one would deliberately add to a circuit. Other times, capacitors are side effects that come about even if we don t want them. The simplest capacitor is formed by an insulating material (known as dielectric) sandwiched between two parallel conducting plates. When a voltage potential is applied to the two ends, charge accumulates on the plates. In capacitors, voltage v is proportional to the charged stored q. The constant of proportionality is the capacitance C. Since current is the rate of change of charge (i.e. the flow of charge), the relationship between v and I involves differentiation or integration. Capacitance is measured in Farads. 2

3 Since there is an insulating layer between the two conducting plates of a capacitor, DC current cannot flow through a capacitor. So always remember: A CAPACITOR IN SERIES BLOCKS DC part of a signal. However, alternating or changing current can flow through a capacitor. The best analogy is the flow of air from inside to outside of the building. Assuming that the window is completely sealed, air inside the building cannot flow to the outside in spite of the pressure difference between the two sides. The pressure difference is analogous to the voltage potential at the two end of the capacitor. The air flow is like DC current. However, if the air pressure difference is alternating, there can be air movement on both sides as shown in the diagram. 3

4 There are many different types of capacitors depending on the method of construction and the materials used. The most common three types are: polystyrene, ceramic and electrolytic. You will choose which to use depending on the operating signal frequency. Polystyrene and ceramic capacitors are good for a wide frequency range, particularly at very high frequencies (say over 1MHz). However, they only come in fairly low capacitance value. For large capacitances, one would use electrolytic capacitors. Electrolytic capacitors are only good for fairly low frequencies. Furthermore, they have polarity, i.e. it has a positive and a negative terminal. You must connect the capacitor +ve terminal to the more positive voltage than the ve terminal. 4

5 Connecting two capacitors in parallel results in their capacitances ADD-ed together (just like resistors in series). Connecting two capacitors in series results in their capacitances combined in a product/sum manner, similar to two parallel resistances. 5

6 Before we embark on circuits using capacitors, let us examine one of the signals that you explored in Lab 1 in the past two weeks the exponential signal. Exponential signals are interesting. Here the rate of change is shown in terms of the time constant t (tau). The following facts are worth remembering: 1. For exponential rise, the signal reaches 63% at one t, and 95% at 3t. 2. For exponential fall, the signal reaches 37% at one t, and 5% at 3t. 6

7 For the circuit shown here, assume the capacitor has zero charge (and 0v) at t = 0. The switch is closed, connecting the circuit to the constant voltage source Vs. Initially the voltage drop across the resistor is Vs. A current of Vs/R flows from the source to capacitor. However, a Vc increases, the current I decreases. This results in the exponential drop of changing current and an exponential rise of the capacitor voltage. We will examine mathematically how i and Vc changes over time in the next lecture. For now, it is important to consider the parameter known as the time constant. If R is large, the charging current I is small, and it takes longer to charge the capacitor. For a given R, if C is large, it can store more charge for a given voltage, therefore the time needed to charge a capacitor to a certain voltage is proportional to the produce R x C. RC is known as the time constant of this circuit. 7

8 We have seen this circuit before in the last lecture. We will now derive the exponential equation formally. For that you need to be familiar with solving first-order differential equations from your maths lectures. We want to solve: dv dt = V v RC dt RC = dv V v Integrate both sides, we get: t = ln(v v)+ A, RC Use boundary condition: when t= 0, v = 0: Therefore t RC e RC dv dt + v=v where A constant of integration = ln(v v)+ lnv = ln V V v t RC = V V v v = V(1 e t RC ) 0 = ln(v 0)+ A RC A = lnv 8

9 Let us now consider what happens if we charge up the capacitor, then at t = 0, discharges it. The equations is also easy to solve and it is clear that the discharge profiles in V and I also follow the exponential curves. 9

10 Inductors are the complementary component to the capacitor. They are not commonly found in electronic circuits because they are bulky and expensive, and practical inductors are far from ideal. However, they are found in motors, transformers and other electrical mechanisms. They are also found as stray effects (undesirable side effects) with interconnecting wires (such as wires that you use to connect circuits on the breadboard). Inductors are used as antennae for sending and receiving radio signals, and form part of transformers used in wireless charging. Here are some basic equations governing an inductor. The most important is v = IL di/dt. Note the similarity to the capacitor equations. 10

11 Series and parallel inductors combine just like resistors do. 11

12 Energising an inductor is similar to that of charging a capacitor. Except that the inductor CURRENT (as suppose to the capacitor voltage) is rising exponentially. The inductor voltage is decreasing exponentially. The time constant is L/R as suppose to RC. 12

13 We can perform the same analysis with an inductor being energised (we don t call this charging). At t=0, when the switch is first closed, NO CURRENT FLOWS, since the current through an inductor cannot change instantaneously. Since no current flows, voltage across the inductor must be V, the same as the voltage source. Therefore as soon as the switch is closed, v goes from 0 to V instantaneously! This is a characteristic of a LR circuit. The current rises from 0, therefore the voltage drop across the resistor R increases, decreasing the inductor voltage. Solving the first-order differential equation provides the exact equations for i L and v L. 13

14 Similarly when we de-energise the inductor, we get the exponential characteristics as we did for discharging the capacitor. 14

15 The take-home message that you must remember is that: Capacitor tries to keep its voltage constant. Inductor tries to keep its current constant. 15

16 Now consider v(t) across a capacitor is time varying as shown here. Let us now take the average on both side of the capacitor equation. If we start at a voltage vc at time t1, and eventually go bact to vc at time t2, then the average current flow to the capacitor is zero. This is obvious the charge stored in C is the same, therefore the average current must be zero. Similarly for inductor, the average voltage across an inductor is zero, just like a perfect wire. Circuit symbol capacitor has a gap in the symbol current cannot go through. Inductor symbol is like a wire coiled up. 16

17 17

### In addition to resistors that we have considered to date, there are two other basic electronic components that can be found everywhere: the capacitor

In addition to resistors that we have considered to date, there are two other basic electronic components that can be found everywhere: the capacitor and the inductor. We will consider these two types

### ENGR 2405 Chapter 6. Capacitors And Inductors

ENGR 2405 Chapter 6 Capacitors And Inductors Overview This chapter will introduce two new linear circuit elements: The capacitor The inductor Unlike resistors, these elements do not dissipate energy They

### CIRCUIT ELEMENT: CAPACITOR

CIRCUIT ELEMENT: CAPACITOR PROF. SIRIPONG POTISUK ELEC 308 Types of Circuit Elements Two broad types of circuit elements Ati Active elements -capable of generating electric energy from nonelectric energy

### Inductors. Hydraulic analogy Duality with capacitor Charging and discharging. Lecture 12: Inductors

Lecture 12: nductors nductors Hydraulic analogy Duality with capacitor Charging and discharging Robert R. McLeod, University of Colorado http://hilaroad.com/camp/projects/magnet.html 99 Lecture 12: nductors

### E40M Capacitors. M. Horowitz, J. Plummer, R. Howe

E40M Capacitors 1 Reading Reader: Chapter 6 Capacitance A & L: 9.1.1, 9.2.1 2 Why Are Capacitors Useful/Important? How do we design circuits that respond to certain frequencies? What determines how fast

### Introduction to AC Circuits (Capacitors and Inductors)

Introduction to AC Circuits (Capacitors and Inductors) Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/

### ECE2262 Electric Circuits. Chapter 6: Capacitance and Inductance

ECE2262 Electric Circuits Chapter 6: Capacitance and Inductance Capacitors Inductors Capacitor and Inductor Combinations Op-Amp Integrator and Op-Amp Differentiator 1 CAPACITANCE AND INDUCTANCE Introduces

### ECE2262 Electric Circuits. Chapter 6: Capacitance and Inductance

ECE2262 Electric Circuits Chapter 6: Capacitance and Inductance Capacitors Inductors Capacitor and Inductor Combinations 1 CAPACITANCE AND INDUCTANCE Introduces two passive, energy storing devices: Capacitors

### Chapter 13. Capacitors

Chapter 13 Capacitors Objectives Describe the basic structure and characteristics of a capacitor Discuss various types of capacitors Analyze series capacitors Analyze parallel capacitors Analyze capacitive

### EECE251. Circuit Analysis I. Set 4: Capacitors, Inductors, and First-Order Linear Circuits

EECE25 Circuit Analysis I Set 4: Capacitors, Inductors, and First-Order Linear Circuits Shahriar Mirabbasi Department of Electrical and Computer Engineering University of British Columbia shahriar@ece.ubc.ca

### A capacitor is a device that stores electric charge (memory devices). A capacitor is a device that stores energy E = Q2 2C = CV 2

Capacitance: Lecture 2: Resistors and Capacitors Capacitance (C) is defined as the ratio of charge (Q) to voltage (V) on an object: C = Q/V = Coulombs/Volt = Farad Capacitance of an object depends on geometry

### Chapt ha e pt r e r 9 Capacitors

Chapter 9 Capacitors Basics of a Capacitor In its simplest form, a capacitor is an electrical device constructed of two parallel plates separated by an insulating material called the dielectric In the

### Capacitors. Chapter How capacitors work Inside a capacitor

Chapter 6 Capacitors In every device we have studied so far sources, resistors, diodes and transistors the relationship between voltage and current depends only on the present, independent of the past.

### Electronics Capacitors

Electronics Capacitors Wilfrid Laurier University October 9, 2015 Capacitor an electronic device which consists of two conductive plates separated by an insulator Capacitor an electronic device which consists

### Experiment FT1: Measurement of Dielectric Constant

Experiment FT1: Measurement of Dielectric Constant Name: ID: 1. Objective: (i) To measure the dielectric constant of paper and plastic film. (ii) To examine the energy storage capacity of a practical capacitor.

### RC, RL, and LCR Circuits

RC, RL, and LCR Circuits EK307 Lab Note: This is a two week lab. Most students complete part A in week one and part B in week two. Introduction: Inductors and capacitors are energy storage devices. They

### RC Circuits. Equipment: Capstone with 850 interface, RLC circuit board, 2 voltage sensors (no alligator clips), 3 leads V C = 1

R ircuits Equipment: apstone with 850 interface, RL circuit board, 2 voltage sensors (no alligator clips), 3 leads 1 Introduction The 3 basic linear circuits elements are the resistor, the capacitor, and

### Lecture 15: Inductor & Capacitor

ECE 1270: Introduction to Electric Circuits 0 Lecture 15: Inductor & Capacitor Chapter 6 Inductance, Capacitance, and Mutual Inductance Sections 6.1-6.3 EE 1270: Introduction to Electric Circuits 1 Inductor

### EXPERIMENT 5A RC Circuits

EXPERIMENT 5A Circuits Objectives 1) Observe and qualitatively describe the charging and discharging (decay) of the voltage on a capacitor. 2) Graphically determine the time constant for the decay, τ =.

### Lab 08 Capacitors 2. Figure 2 Series RC circuit with SPDT switch to charge and discharge capacitor.

Lab 08: Capacitors Last edited March 5, 2018 Learning Objectives: 1. Understand the short-term and long-term behavior of circuits containing capacitors. 2. Understand the mathematical relationship between

### Capacitance. A capacitor consists of two conductors that are close but not touching. A capacitor has the ability to store electric charge.

Capacitance A capacitor consists of two conductors that are close but not touching. A capacitor has the ability to store electric charge. a) Parallel-plate capacitor connected to battery. (b) is a circuit

### CAPACITANCE. Capacitor. Because of the effect of capacitance, an electrical circuit can store energy, even after being de-energized.

D ircuits APAITANE APAITANE Because of the effect of capacitance, an electrical circuit can store energy, even after being de-energized. EO 1.5 EO 1.6 EO 1.7 EO 1.8 EO 1.9 DESRIBE the construction of a

### As light level increases, resistance decreases. As temperature increases, resistance decreases. Voltage across capacitor increases with time LDR

LDR As light level increases, resistance decreases thermistor As temperature increases, resistance decreases capacitor Voltage across capacitor increases with time Potential divider basics: R 1 1. Both

### Capacitors are devices which can store electric charge. They have many applications in electronic circuits. They include:

CAPACITORS Capacitors are devices which can store electric charge They have many applications in electronic circuits They include: forming timing elements, waveform shaping, limiting current in AC circuits

### Physics 220: Worksheet 7

(1 A resistor R 1 =10 is connected in series with a resistor R 2 =100. A current I=0.1 A is present through the circuit. What is the power radiated in each resistor and also in the total circuit? (2 A

### ENERGY AND TIME CONSTANTS IN RC CIRCUITS By: Iwana Loveu Student No Lab Section: 0003 Date: February 8, 2004

ENERGY AND TIME CONSTANTS IN RC CIRCUITS By: Iwana Loveu Student No. 416 614 5543 Lab Section: 0003 Date: February 8, 2004 Abstract: Two charged conductors consisting of equal and opposite charges forms

### What happens when things change. Transient current and voltage relationships in a simple resistive circuit.

Module 4 AC Theory What happens when things change. What you'll learn in Module 4. 4.1 Resistors in DC Circuits Transient events in DC circuits. The difference between Ideal and Practical circuits Transient

### Circuit Analysis-II. Circuit Analysis-II Lecture # 5 Monday 23 rd April, 18

Circuit Analysis-II Capacitors in AC Circuits Introduction ü The instantaneous capacitor current is equal to the capacitance times the instantaneous rate of change of the voltage across the capacitor.

### Capacitor. Capacitor (Cont d)

1 2 1 Capacitor Capacitor is a passive two-terminal component storing the energy in an electric field charged by the voltage across the dielectric. Fixed Polarized Variable Capacitance is the ratio of

### DEPARTMENT OF ELECTRONIC ENGINEERING ELECTRONIC WORKSHOP # 04. Capacitors

MEHRAN UNIVERSITY OF ENGINEERING AND TECHNOLOGY, JAMSHORO DEPARTMENT OF ELECTRONIC ENGINEERING ELECTRONIC WORKSHOP # 04 Capacitors Roll. No: Checked by: Date: Grade: Object: To become familiar with Capacitors,

### Electro - Principles I

Electro - Principles I Capacitance The Capacitor What is it? Page 8-1 The capacitor is a device consisting essentially of two conducting surfaces separated by an insulating material. + Schematic Symbol

### Pretest ELEA1831 Module 11 Units 1& 2 Inductance & Capacitance

Pretest ELEA1831 Module 11 Units 1& 2 Inductance & Capacitance 1. What is Faraday s Law? Magnitude of voltage induced in a turn of wire is proportional to the rate of change of flux passing through that

### First-order transient

EIE209 Basic Electronics First-order transient Contents Inductor and capacitor Simple RC and RL circuits Transient solutions Constitutive relation An electrical element is defined by its relationship between

### MAY/JUNE 2006 Question & Model Answer IN BASIC ELECTRICITY 194

MAY/JUNE 2006 Question & Model Answer IN BASIC ELECTRICITY 194 Question 1 (a) List three sources of heat in soldering (b) state the functions of flux in soldering (c) briefly describe with aid of diagram

### Switch. R 5 V Capacitor. ower upply. Voltmete. Goals. Introduction

Switch Lab 6. Circuits ower upply Goals + + R 5 V Capacitor V To appreciate the capacitor as a charge storage device. To measure the voltage across a capacitor as it discharges through a resistor, and

### Direct Current (DC) Circuits

Direct Current (DC) Circuits NOTE: There are short answer analysis questions in the Participation section the informal lab report. emember to include these answers in your lab notebook as they will be

### Impedance. Reactance. Capacitors

Impedance Ohm's law describes the relationship between current and voltage in circuits that are in equilibrium- that is, when the current and voltage are not changing. When we have a situation where the

### Switch. R 5 V Capacitor. ower upply. Voltmete. Goals. Introduction

Switch Lab 6. Circuits ower upply Goals + + R 5 V Capacitor V To appreciate the capacitor as a charge storage device. To measure the voltage across a capacitor as it discharges through a resistor, and

### Self-inductance A time-varying current in a circuit produces an induced emf opposing the emf that initially set up the time-varying current.

Inductance Self-inductance A time-varying current in a circuit produces an induced emf opposing the emf that initially set up the time-varying current. Basis of the electrical circuit element called an

### CHAPTER FOUR MUTUAL INDUCTANCE

CHAPTER FOUR MUTUAL INDUCTANCE 4.1 Inductance 4.2 Capacitance 4.3 Serial-Parallel Combination 4.4 Mutual Inductance 4.1 Inductance Inductance (L in Henry is the circuit parameter used to describe an inductor.

### Lab 5 AC Concepts and Measurements II: Capacitors and RC Time-Constant

EE110 Laboratory Introduction to Engineering & Laboratory Experience Lab 5 AC Concepts and Measurements II: Capacitors and RC Time-Constant Capacitors Capacitors are devices that can store electric charge

### Laboratory 3 Measuring Capacitor Discharge with the MicroBLIP

Laboratory 3 page 1 of 6 Laboratory 3 Measuring Capacitor Discharge with the MicroBLIP Introduction In this lab, you will use the MicroBLIP in its Data Acquisition Mode to sample the voltage over time

### Name: Lab Partner: Section:

Chapter 6 Capacitors and RC Circuits Name: Lab Partner: Section: 6.1 Purpose The purpose of this experiment is to investigate the physics of capacitors in circuits. The charging and discharging of a capacitor

### Electric Circuits. Overview. Hani Mehrpouyan,

Electric Circuits Hani Mehrpouyan, Department of Electrical and Computer Engineering, Lecture 15 (First Order Circuits) Nov 16 th, 2015 Hani Mehrpouyan (hani.mehr@ieee.org) Boise State c 2015 1 1 Overview

### University of TN Chattanooga Physics 1040L 8/18/2012 PHYSICS 1040L LAB LAB 4: R.C. TIME CONSTANT LAB

PHYSICS 1040L LAB LAB 4: R.C. TIME CONSTANT LAB OBJECT: To study the discharging of a capacitor and determine the time constant for a simple circuit. APPARATUS: Capacitor (about 24 μf), two resistors (about

### Slide 1 / 26. Inductance by Bryan Pflueger

Slide 1 / 26 Inductance 2011 by Bryan Pflueger Slide 2 / 26 Mutual Inductance If two coils of wire are placed near each other and have a current passing through them, they will each induce an emf on one

### Energy Storage Elements: Capacitors and Inductors

CHAPTER 6 Energy Storage Elements: Capacitors and Inductors To this point in our study of electronic circuits, time has not been important. The analysis and designs we have performed so far have been static,

### MODULE I. Transient Response:

Transient Response: MODULE I The Transient Response (also known as the Natural Response) is the way the circuit responds to energies stored in storage elements, such as capacitors and inductors. If a capacitor

### Chapter 32. Inductance

Chapter 32 Inductance Joseph Henry 1797 1878 American physicist First director of the Smithsonian Improved design of electromagnet Constructed one of the first motors Discovered self-inductance Unit of

### LR Circuits. . The voltage drop through both resistors will equal. Hence 10 1 A

The diagram shows a classic R circuit, containing both resistors and inductors. The switch shown is initially connected to neither terminal, and is then thrown to position a at time t = 0. R Circuits E

### Capacitor Action. 3. Capacitor Action Theory Support. Electronics - AC Circuits

Capacitor Action Topics covered in this presentation: Capacitors on DC Capacitors on AC Capacitor Charging Capacitor Discharging 1 of 18 Charging a Capacitor (DC) Before looking at how capacitors charge

### Chapter 10 EMT1150 Introduction to Circuit Analysis

Chapter 10 EM1150 Introduction to Circuit Analysis Department of Computer Engineering echnology Fall 2018 Prof. Rumana Hassin Syed Chapter10 Capacitors Introduction to Capacitors he Electric Field Capacitance

### Unit-2.0 Circuit Element Theory

Unit2.0 Circuit Element Theory Dr. Anurag Srivastava Associate Professor ABVIIITM, Gwalior Circuit Theory Overview Of Circuit Theory; Lumped Circuit Elements; Topology Of Circuits; Resistors; KCL and KVL;

### Basic RL and RC Circuits R-L TRANSIENTS: STORAGE CYCLE. Engineering Collage Electrical Engineering Dep. Dr. Ibrahim Aljubouri

st Class Basic RL and RC Circuits The RL circuit with D.C (steady state) The inductor is short time at Calculate the inductor current for circuits shown below. I L E R A I L E R R 3 R R 3 I L I L R 3 R

### Prof. Anyes Taffard. Physics 120/220. Voltage Divider Capacitor RC circuits

Prof. Anyes Taffard Physics 120/220 Voltage Divider Capacitor RC circuits Voltage Divider The figure is called a voltage divider. It s one of the most useful and important circuit elements we will encounter.

### EE292: Fundamentals of ECE

EE292: Fundamentals of ECE Fall 2012 TTh 10:00-11:15 SEB 1242 Lecture 14 121011 http://www.ee.unlv.edu/~b1morris/ee292/ 2 Outline Review Steady-State Analysis RC Circuits RL Circuits 3 DC Steady-State

### Physics 102: Lecture 7 RC Circuits

Physics 102: Lecture 7 C Circuits Physics 102: Lecture 7, Slide 1 C Circuits Circuits that have both resistors and capacitors: K Na Cl C ε K ε Na ε Cl S With resistance in the circuits, capacitors do not

### Laboratory 7: Charging and Discharging a Capacitor Prelab

Phys 132L Fall 2018 Laboratory 7: Charging and Discharging a Capacitor Prelab Consider a capacitor with capacitance C connected in series to a resistor with resistance R as shown in Fig. 1. Theory predicts

### Chapter 32. Inductance

Chapter 32 Inductance Inductance Self-inductance A time-varying current in a circuit produces an induced emf opposing the emf that initially set up the time-varying current. Basis of the electrical circuit

### RADIO AMATEUR EXAM GENERAL CLASS

RAE-Lessons by 4S7VJ 1 CHAPTER- 2 RADIO AMATEUR EXAM GENERAL CLASS By 4S7VJ 2.1 Sine-wave If a magnet rotates near a coil, an alternating e.m.f. (a.c.) generates in the coil. This e.m.f. gradually increase

### Switch. R 5 V Capacitor. ower upply. Voltmete. Goals. Introduction

Switch Lab 9. Circuits ower upply Goals + + R 5 V Capacitor V To appreciate the capacitor as a charge storage device. To measure the voltage across a capacitor as it discharges through a resistor, and

### Chapter 30 Examples : Inductance (sections 1 through 6) Key concepts: (See chapter 29 also.)

Chapter 30 Examples : Inductance (sections 1 through 6) Key concepts: (See chapter 29 also.) ξ 2 = MdI 1 /dt : A changing current in a coil of wire (1) will induce an EMF in a second coil (2) placed nearby.

### Experiment Guide for RC Circuits

Guide-P1 Experiment Guide for RC Circuits I. Introduction 1. Capacitors A capacitor is a passive electronic component that stores energy in the form of an electrostatic field. The unit of capacitance is

### Phys 2025, First Test. September 20, minutes Name:

Phys 05, First Test. September 0, 011 50 minutes Name: Show all work for maximum credit. Each problem is worth 10 points. Work 10 of the 11 problems. k = 9.0 x 10 9 N m / C ε 0 = 8.85 x 10-1 C / N m e

### PHYS 1441 Section 001 Lecture #23 Monday, Dec. 4, 2017

PHYS 1441 Section 1 Lecture #3 Monday, Dec. 4, 17 Chapter 3: Inductance Mutual and Self Inductance Energy Stored in Magnetic Field Alternating Current and AC Circuits AC Circuit W/ LRC Chapter 31: Maxwell

### Homework assignment from , MEMS Capacitors lecture

Homework assignment from 05-02-2006, MEMS Capacitors lecture 1. Calculate the capacitance for a round plate of 100µm diameter with an air gap space of 2.0 µm. C = e r e 0 * A/d (1) e 0 = 8.85E-12 F/m e

### EE1305/EE1105 Intro to Electrical and Computer Engineering Lecture Week 6

EE1305/EE1105 Intro to Electrical and Computer Engineering Lecture Week 6 Homework Passive Components Capacitors RC Filters fc Calculations Bode Plots Module III Homework- due 2/20 (Najera), due 2/23 (Quinones)

### Transient response of RC and RL circuits ENGR 40M lecture notes July 26, 2017 Chuan-Zheng Lee, Stanford University

Transient response of C and L circuits ENG 40M lecture notes July 26, 2017 Chuan-Zheng Lee, Stanford University esistor capacitor (C) and resistor inductor (L) circuits are the two types of first-order

### 6. Introduction and Chapter Objectives

Real Analog - Circuits Chapter 6: Energy Storage Elements 6. Introduction and Chapter Objectives So far, we have considered circuits that have been governed by algebraic relations. These circuits have,

### first name (print) last name (print) brock id (ab17cd) (lab date)

(ta initials) first name (print) last name (print) brock id (ab17cd) (lab date) Experiment 1 Capacitance In this Experiment you will learn the relationship between the voltage and charge stored on a capacitor;

### Name Class Date. RC Circuit Lab

RC Circuit Lab Objectives: Students will be able to Use the ScienceWorkshop interface to investigate the relationship between the voltage remaining across a capacitor and the time taken for the discharge

### [1] (b) Fig. 1.1 shows a circuit consisting of a resistor and a capacitor of capacitance 4.5 μf. Fig. 1.1

1 (a) Define capacitance..... [1] (b) Fig. 1.1 shows a circuit consisting of a resistor and a capacitor of capacitance 4.5 μf. S 1 S 2 6.3 V 4.5 μf Fig. 1.1 Switch S 1 is closed and switch S 2 is left

### Lecture 39. PHYC 161 Fall 2016

Lecture 39 PHYC 161 Fall 016 Announcements DO THE ONLINE COURSE EVALUATIONS - response so far is < 8 % Magnetic field energy A resistor is a device in which energy is irrecoverably dissipated. By contrast,

### PRACTICE EXAM 1 for Midterm 2

PRACTICE EXAM 1 for Midterm 2 Multiple Choice Questions 1) The figure shows three identical lightbulbs connected to a battery having a constant voltage across its terminals. What happens to the brightness

### RC Circuit (Power amplifier, Voltage Sensor)

Object: RC Circuit (Power amplifier, Voltage Sensor) To investigate how the voltage across a capacitor varies as it charges and to find its capacitive time constant. Apparatus: Science Workshop, Power

### Chapter 28. Direct Current Circuits

Chapter 28 Direct Current Circuits Circuit Analysis Simple electric circuits may contain batteries, resistors, and capacitors in various combinations. For some circuits, analysis may consist of combining

### ECE 241L Fundamentals of Electrical Engineering. Experiment 5 Transient Response

ECE 241L Fundamentals of Electrical Engineering Experiment 5 Transient Response NAME PARTNER A. Objectives: I. Learn how to use the function generator and oscilloscope II. Measure step response of RC and

### Capacitors. The charge Q on a capacitor s plate is proportional to the potential difference V across the Q = C V (1)

apacitors THEORY The charge Q on a capacitor s plate is proportional to the potential difference V across the capacitor. We express this with Q = V (1) where is a proportionality constant known as the

### EDEXCEL NATIONAL CERTIFICATE. UNIT 38 ELECTRICAL and ELECTRONIC PRINCIPLES OUTCOME 2

EDEXCEL NATIONAL CERTIFICATE UNIT 38 ELECTRICAL and ELECTRONIC PRINCIPLES OUTCOME 2 Electric fields and capacitors Electric fields: electrostatics, charge, electron movement in field, force on unit charge,

### Capacitor Construction

Capacitor Construction Topics covered in this presentation: Capacitor Construction 1 of 13 Introduction to Capacitors A capacitor is a device that is able to store charge and acts like a temporary, rechargeable

### Capacitors. Charging a Capacitor. Charge and Capacitance. L05: Capacitors and Inductors

L05: Capacitors and Inductors 50 Capacitors 51 Outline of the lecture: Capacitors and capacitance. Energy storage. Capacitance formula. Types of capacitors. Inductors and inductance. Inductance formula.

### Inductance. Slide 2 / 26. Slide 1 / 26. Slide 4 / 26. Slide 3 / 26. Slide 6 / 26. Slide 5 / 26. Mutual Inductance. Mutual Inductance.

Slide 1 / 26 Inductance 2011 by Bryan Pflueger Slide 2 / 26 Mutual Inductance If two coils of wire are placed near each other and have a current passing through them, they will each induce an emf on one

### Physics 405/505 Digital Electronics Techniques. University of Arizona Spring 2006 Prof. Erich W. Varnes

Physics 405/505 Digital Electronics Techniques University of Arizona Spring 2006 Prof. Erich W. Varnes Administrative Matters Contacting me I will hold office hours on Tuesday from 1-3 pm Room 420K in

### CAPACITANCE. Figure 1(a). Figure 1(b).

Reading 11 Ron Bertrand VK2DQ http://www.radioelectronicschool.com CAPACITANCE In this reading we are going to talk about capacitance. I have to make a distinction here between capacitor and capacitance.

### Capacitors Diodes Transistors. PC200 Lectures. Terry Sturtevant. Wilfrid Laurier University. June 4, 2009

Wilfrid Laurier University June 4, 2009 Capacitor an electronic device which consists of two conductive plates separated by an insulator Capacitor an electronic device which consists of two conductive

### Electrical Circuits (2)

Electrical Circuits (2) Lecture 7 Transient Analysis Dr.Eng. Basem ElHalawany Extra Reference for this Lecture Chapter 16 Schaum's Outline Of Theory And Problems Of Electric Circuits https://archive.org/details/theoryandproblemsofelectriccircuits

### farads or 10 µf. The letter indicates the part tolerance (how close should the actual value be to the marking).

p1 EE1050/60 Capacitors Lab University of Utah Electrical Engineering Department EE1050/1060 Capacitors A. Stolp, 10/4/99 rev 3/17/01 Objectives 1.) Observe charging and discharging of a capacitor. 2.)

### Summary Notes ALTERNATING CURRENT AND VOLTAGE

HIGHER CIRCUIT THEORY Wheatstone Bridge Circuit Any method of measuring resistance using an ammeter or voltmeter necessarily involves some error unless the resistances of the meters themselves are taken

### Basic Electronics. Introductory Lecture Course for. Technology and Instrumentation in Particle Physics Chicago, Illinois June 9-14, 2011

Basic Electronics Introductory Lecture Course for Technology and Instrumentation in Particle Physics 2011 Chicago, Illinois June 9-14, 2011 Presented By Gary Drake Argonne National Laboratory drake@anl.gov

### EIT Review. Electrical Circuits DC Circuits. Lecturer: Russ Tatro. Presented by Tau Beta Pi The Engineering Honor Society 10/3/2006 1

EIT Review Electrical Circuits DC Circuits Lecturer: Russ Tatro Presented by Tau Beta Pi The Engineering Honor Society 10/3/2006 1 Session Outline Basic Concepts Basic Laws Methods of Analysis Circuit

### EEE105 Teori Litar I Chapter 7 Lecture #3. Dr. Shahrel Azmin Suandi Emel:

EEE105 Teori Litar I Chapter 7 Lecture #3 Dr. Shahrel Azmin Suandi Emel: shahrel@eng.usm.my What we have learnt so far? Chapter 7 introduced us to first-order circuit From the last lecture, we have learnt

### On the axes of Fig. 4.1, carefully sketch a graph to show how the potential difference V across the capacitor varies with time t. Label this graph L.

1 (a) A charged capacitor is connected across the ends of a negative temperature coefficient (NTC) thermistor kept at a fixed temperature. The capacitor discharges through the thermistor. The potential

### (d) describe the action of a 555 monostable timer and then use the equation T = 1.1 RC, where T is the pulse duration

Chapter 1 - Timing Circuits GCSE Electronics Component 2: Application of Electronics Timing Circuits Learners should be able to: (a) describe how a RC network can produce a time delay (b) describe how

### Chapter 2: Capacitors And Dielectrics

hapter 2: apacitors And Dielectrics 2.1 apacitance and capacitors in series and parallel L.O 2.1.1 Define capacitance and use capacitance apacitor is a device that is capable of storing electric charges

### Lab #6 Ohm s Law. Please type your lab report for Lab #6 and subsequent labs.

Dr. Day, Fall 2004, Rev. 06/22/10 HEFW PH 262 Page 1 of 4 Lab #6 Ohm s Law Please type your lab report for Lab #6 and subsequent labs. Objectives: When you have completed this lab exercise you should be

### Lab 4 - First Order Transient Response of Circuits

Lab 4 - First Order Transient Response of Circuits Lab Performed on October 22, 2008 by Nicole Kato, Ryan Carmichael, and Ti Wu Report by Ryan Carmichael and Nicole Kato E11 Laboratory Report Submitted

### Physics 115. General Physics II. Session 24 Circuits Series and parallel R Meters Kirchoff s Rules

Physics 115 General Physics II Session 24 Circuits Series and parallel R Meters Kirchoff s Rules R. J. Wilkes Email: phy115a@u.washington.edu Home page: http://courses.washington.edu/phy115a/ 5/15/14 Phys

### Physics 115. AC: RL vs RC circuits Phase relationships RLC circuits. General Physics II. Session 33

Session 33 Physics 115 General Physics II AC: RL vs RC circuits Phase relationships RLC circuits R. J. Wilkes Email: phy115a@u.washington.edu Home page: http://courses.washington.edu/phy115a/ 6/2/14 1