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SOLVE PROBLEMS in D.C. CIRCUITS Equation Sheet Sheet Equation Stage 1: This List Does Not Contain All Equations in the Course and Transposition May Be Required

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SOLVE PROBLEMS in D.C. CIRCUITS Equation Sheet Sheet Equation Stage 1: This List Does Not Contain All Equations in the Course and Transposition May Be Required UEE30811 - Certificate III Electrotechnology Electrician TAFE NSW Unit UEENEEE104A SOLVE PROBLEMS IN D.C. CIRCUITS Equation Sheet Stage 1: This list does not contain all equations in the course and transposition may be required. A B C D E 1 = = = = = 푄 퐼푡 퐹 푚푎 푊 푃푡 푊 퐹푠 푊 푚푔ℎ 2 = = = = ퟐ훑퐧퐓 퐕 퐕 - ퟔퟎ 퐕 퐈퐑 퐈 퐑 퐏 100 3 = = 퐑 = 퐈 η % = × Symbols obtained from 2 1 2 푉 표푢푡푝푢푡 푃 푉퐼 푃 퐼 푅 푃 푖푛푝푢푡 4 = = = (1푅+ ) 푅1퐴1푙2 휌푙 ℎ 푐 푅 푅2 퐴2푙1 푅 푅 훼∆푡 5 = + 퐴 + = + + = = = = + 푅1 푇 1 2 3 푇 1 2 3 푇 1 2 3 1 푇 푉 푉 푉 푉 1푅 푅1 푅1 푅1 퐼 퐼 퐼 퐼 푉 푉 A 1 2 S1046 6 = = = = + + = + + = 푅 푅 = + + 푅1 푅1푅2 푇 1 2 3 푇 1 2 3 2 푇 푇 푉 푉 푉 푉 푇 퐼 퐼 퐼 퐼 퐼 퐼 1 푅 1 1 1 푅 푅1 푅2 푅3 1 2 1 2 7 = = = = +푅 +푅 = +푅 푅+ 표 푟 푄 퐴 ∈ ∈ 푇 1 2 3 퐶 퐶 휏 푅퐶 퐶 퐶 퐶 퐶 푇 1 2 3 8 = 푉 = 푑 = = 퐶 퐶= 퐶 퐶 2 ∆∅ 푁 퐿 ∆∅ ∆퐼 퐿 푁 퐿 휏 푉 푁 푉 퐿 9 = ∆퐼 = 푆 = 푅 = ∆푡 = ∆푡 푚 ∅ 푙 푒 퐵푙푣 퐹 퐵푖푙 퐹 퐼푁 퐵 푆 표 푟 10 = = = = 퐴 =휇 휇 퐴 푚 푚 푔 퐹 퐹 퐸 푘∅푛 푇 푘∅퐼푎 푇 퐹푟 퐻 ∅ 푙 푆 Equation Sheet Stage 2: This list does not contain all equations in the course and transposition may be required. Stage 1: equations are also used during stage 2 A B C D E 11 = 0.637 = 0.707 = sin = 3 = 120 푎푣푒 푚푎푥 푅푀푆 푚푎푥 푚푎푥 푛푃 푉 푉 푉 푉 푣 푉 휃 푉퐿 √ 푉푃 푓 1 12 = 0.637 = 0.707 = sin = 3 = - 푎푣푒 푚푎푥 푅푀푆 푚푎푥 푚푎푥 퐿 푃 퐼 퐼 퐼 퐼 푖 퐼 휃 퐼 √ 퐼 푡 Symbols obtained 13 = = = 푓 푉 푉 퐼 푉 퐼푍 푍 = 14 = 푍+ = + ( ) = 2 퐼 cos = 1 2 2 2 2 퐿 퐶 푅 푍 �푅 푋 푍 �푅 푋퐿 − 푋퐶 푋 휋푓퐿 푋 2휋푓퐶 휃 15 = cos = = sin = cos = 푍 from 2 2 푃 푃 푉퐼 휃 푆 푉퐼 푄 푉퐼 휃 푃 �푆 − 푄 휃 AS1046 16 = 3 cos = 3 = 3 sin tan = 3 = 푆 + 1 2 −1 푊 − 푊 푃 √ 푉퐿퐼퐿 휃 푆 √ 푉퐿퐼퐿 푄 √ 푉퐿퐼퐿 휃 휃 √ � � 휃 푐표푠 휆 ( 푊1 )푊2100 17 = 4. = = % = × 1 ′ 1 1 2 1 푁퐿 퐹퐿 푉 푁 퐼 푁 푟푒푔 푉 − 푉 푉 44∅120푓푁 2 % ×2 1 2 100 푉 ( 퐹퐿 ) 100 18 = 푉= 푁 % = 퐼 푁 × % = 푉 × = 100 푠푦푛 1 푁퐿 퐹퐿 1 푠푦푛 푓 푟 푆 푓 �푛 − 푛� 푟푒푔 푉 − 푉 푁 푓 푆 푠푦푛 푉 푁퐿 푇 푘∅퐼푎 19 푃 푛 푉 2 100 20 = η % = × 60 1 휋푛푇 표푢푡푝푢푡 푃 푖푛푝푢푡 Equation Sheet Stage 2a: This list does not contain all equations in the course and transposition may be required. Stage 1: equations are also used during stage 2 A B C D E 21 22 = ( ) = = = × cos η = 퐼 - 퐹 퐼 2 퐹 Symbols obtained from 푉푇 퐸퐺 − 퐼 푅푖 퐸 퐸 2 퐸 푑 휃 23 퐴 = (tan 푑 tan ) = (tan tan ) 푃 푄푐 푃 휃1 − 휃2 푋푐 푅 휃1 − 휃2 24 AS1046 Stage 3: This list does not contain all equations in the course and transposition may be required. A B C D E % % 25 = 57.7% = 57.7% = × = × 100 100 2 푃 푃 푃 푃 푚표푡표푟 푠푡 푇퐴푃 퐷푂퐿 푇퐴푃 푉 Ү 1 푉 ∆ 퐼 Ү 1 퐼 ∆ 퐼 %� � 퐼 퐼푙푖푛푒 푠푡 � � 퐼퐷푂퐿 26 = × = × = × 3 3 100 푇퐴푃 퐼푆푇 퐼퐷푂퐿 푇푆푇 푇퐷푂퐿 푉푠푡 � � 푉퐷푂퐿 27 = × Constant = 푇=푆푇 × 푉푠푡 2 푉 퐼푆푇 � � 퐼퐷푂퐿 푉푠푡 푉 � � 푇퐷푂퐿 푓 28 푉 Unit Guide – Assessment Required skills and knowledge This describes the essential skills and knowledge and their level, required for this unit. Evidence shall show that knowledge has been acquired of safe working practices, rationale and solving problems in the relevant unit. The knowledge and skills shall be contextualised to current industry standards, technologies and practices. View the section title page in your class workbook or the complete unit guide for a full list of the fundamentals covered by each topic within this unit. Below is a list indicating the content areas to be covered by the required skills and knowledge specification for this unit: Note: Topics may not be delivered in the order indicated by the full unit guide. Additional information pertinent to your learning may also be included during unit delivery. KS01-EE104A Direct current circuits TOPIC NUMBER AS WORKBOOK LISTED IN THE SECTION NUMBER CONTENT FULL UNIT GUIDE Section 1 BASIC ELECTRICAL CONCEPTS T1 Section 2 BASIC ELECTRICAL CIRCUITS T2 Section 3 OHM’S LAW T3 Section 4 ELECTRICAL POWER T4 Section 5 EFFECTS OF CURRENT T5 Section 6 EMF SOURCES T6 Section 7 RESISTORS T7 Section 8 SERIES CIRCUITS T8 Section 9 PARALLEL CIRCUITS T9 Section 10 SERIES - PARALLEL CIRCUITS T10 Section 11 RESISTANCE 2 and FACTORS AFFECTING RESISTANCE T11 Section 12 METERS T12, T13 Section 13 CAPACITORS AND CAPACITANCE T14 Section 14 CAPACITORS IN SERIES AND PARALLEL T15 Section 15 DC Revision Questions T1 – T15 Notes ************************ Contents Section 1 ‐ Basic Electrical Concepts Section 2 – Basic Electrical Circuits Section 3 ‐ Ohm’s Law Section 4 – Electrical Power Section 5 – Effects of Current Section 6 – EMF Sources Section 7 – Resistors THEORY EXAM 1 and PRACTIAL TEST 1 Section 8 – Series Circuits Section 9 – Parallel circuits Section 10 – Series ‐ Parallel Circuits Section 11 – Factors Affecting Resistance Section 12 ‐ Meters Section 13 – Capacitors and Capacitance Section 14 – Capacitors in Series and Parallel Section 15 – Revision Questions THEORY EXAM 2 and PRACTIAL TEST 2 Section 1 BASIC ELECTRICAL CONCEPTS KS01-EE104A Direct Current circuits TOPIC 1 Basic electrical concepts encompassing electrotechnology industry static and current electricity production of electricity by renewable and non-renewable energy sources transportation of electricity from the source to the load via the transmission and distribution systems utilisation of electricity by the various loads basic calculations involving quantity of electricity, velocity and speed with relationship to the generation and transportation of electricity. safely connect and test an electrical control circuit for correct operation. NOTE:- There are 15 Topics to be covered in this course as specified in the Unit Guide UEENEEE104A Solve problems in d.c. circuits. These are covered in the following 14 sections. The front of each section has a dot point listing of the topic elements contained within that section. Some elements are covered in more than 1 section. Some sections contain material from several topics. These elements also a good guide to use when searching for further material in text books and online. 1: Basic Electrical Concepts 1 Electrical industry The industry sector covers a wide range of electro technologies, from the installation of a simple light bulb and switch to sophisticated electrical, electronic and communications equipment and wiring installations such as a fully automated manufacturing plant with robots. It covers a wide number of sectors such as:- domestic (homes, unit, apartments and villas), rural (hobby farms to large agricultural properties), commercial (small offices and light industrial units to large office buildings) fire protection (from a 1 room office building to large shopping centres, office towers, Defence Force and industrial sites), security (from a 1 room apartment or office to the largest buildings, Defence Force industrial and government sites), industrial (from very small factories to large sites in Port Botany), marine (jetties, marinas and boats & ships) and aviation sites (airports communications, runway lighting and navigation sites), leisure sites (caravan and camping locations), power generation (coal fired power stations, wind farms, photo- voltaic sites, natural gas fired power stations, geo-thermal power generation sites, hydroelectric generation sites etc.), power transmission and distribution companies. The list is almost endless. If it’s part of modern life, it uses electricity. It includes the design, installation and maintenance of all types of electrical equipment from domestic appliances to sophisticated high tech machines and complex systems servicing the above sectors in permanent and temporary buildings. Supply Industry Sector Includes many companies and Authorities such as TransGrid, AusGrid, Endeavour Energy, Essential Energy. Electricity is generated at many locations, most are outside major cities, some are in remote areas. Electricity in NSW is generated from a wide range of fuel sources, including black coal, natural gas, coal seam methane gas and renewable energy sources such as hydro, wind, biomass and solar. NSW has around 18,000 MegaWatts (MW) of installed electricity generation capacity. Interconnectors with Queensland and Victoria provide additional capacity of about 1100 MW and 1500 MW respectively. A MegaWatt (MW) is a very large unit of electricity, equivalent to about 150 homes running during the evening ‘peak’ hours. ELECTRICTY and GENERATION Electricity as we use it, 230Volts AC, has to be ‘generated’, it does not naturally occur. During generation we cause large numbers of electrons to move, we call it ‘electricity’. Electricity is transported from the generation sites, called ‘power stations’ via overhead power lines and eventually it comes into our homes, shops and business’s; it then is connected to the ‘loads’ via fixed wiring and sometimes flexible cords & plugs. The ‘loads’ are the devices and equipment we wish to operate. A typical load is a kettle, when we plug the kettle into a power point and switch it on, we connect the load in the kettle to the electricity and as electricity flows through the load (an element inside the kettle) the load gets very hot, heat is transferred to the water and soon 1: Basic Electrical Concepts 1 after it causes the water to boil.
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