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Introduction to Circuit Theory Basic Concepts 2012-09-12 Jieh-Tsorng Wu National Chiao-Tung University Department of Electronics Engineering Outline 1. 2. 3. 4. 5. Introduction Systems of Units Current and Voltage Power and Energy Circuit Elements 1. Basic Concepts 2 Circuit Theory; Jieh-Tsorng Wu 1 A Simple Electric Circuit 1. Basic Concepts 3 Circuit Theory; Jieh-Tsorng Wu A Radio Receiver 1. Basic Concepts 4 Circuit Theory; Jieh-Tsorng Wu 2 International System of Units (SI) Quantity Basic unit Symbol Length meter m Mass gram g Time second s Electric current ampere A Thermodynamic temperature kelvin K Luminous intensity candela cd 1. Basic Concepts 5 Circuit Theory; Jieh-Tsorng Wu Units Commonly Used in Circuit Theory 1. Basic Concepts 6 Circuit Theory; Jieh-Tsorng Wu 3 Electric Charges Charge is an electrical property of the atomic particles of which matter consists, measured in coulombs (C). The charge e on one electron is negative and equal in magnitude to 1.602 10-19 C which is called as electronic charge. The charges that occur in nature are integral multiples of the electronic charge. The law of conservation of charge states that charge can neither be created or destroyed, only transferred. Thus the algebraic sum of the electric charges in a system does not change. e 1.602 1019 C 1. Basic Concepts 7 Circuit Theory; Jieh-Tsorng Wu Current i dq dt Current is the amount of charge passing through a cross section in one unit time. Electric current i = dq/dt. The unit of ampere can be derived as 1 A = 1C/s. The charge transferred between time t0 and t is t Q idt t0 1. Basic Concepts 8 Circuit Theory; Jieh-Tsorng Wu 4 Direction of Current Flow Negative Charges Positive Charges 1. Basic Concepts Circuit Theory; Jieh-Tsorng Wu 9 DC and AC A direct current (dc) is a current that remains constant with time. An alternating current (ac) is a current that varies sinusoidally with time. 1. Basic Concepts 10 Circuit Theory; Jieh-Tsorng Wu 5 Current Example 1 1. Basic Concepts 11 Circuit Theory; Jieh-Tsorng Wu Current Example 2 1. Basic Concepts 12 Circuit Theory; Jieh-Tsorng Wu 6 Voltage vab dw dq Voltage (or potential difference) is the energy required to move a unit charge through an element, measured in volts (V). w is energy in joules (J) and q is charge in coulombs (C). 1. Basic Concepts 13 Circuit Theory; Jieh-Tsorng Wu Voltage Polarity Electric voltage, vab, is always across the circuit element or between two points in a circuit. vab > 0 means the potential of a is higher than potential of b. vab < 0 means the potential of a is lower than potential of b. 1. Basic Concepts 14 Circuit Theory; Jieh-Tsorng Wu 7 Power and Energy Power is the time rate of expending or absorbing energy, measured in watts (W). p dw dw dq vi dt dq dt i i + + v v _ _ P = +vi Absorbing Power 1. Basic Concepts p = –vi Supplying Power Circuit Theory; Jieh-Tsorng Wu 15 Power and Energy The law of conservation of energy. p0 Energy is the capacity to do work, measured in joules (J). t t t0 t0 w pdt (v i )dt 1. Basic Concepts 16 Circuit Theory; Jieh-Tsorng Wu 8 Power Example p 4V 3A p 4V 3A = 4V 3A 12W 1. Basic Concepts 4V 3A 12W 17 Circuit Theory; Jieh-Tsorng Wu Energy Example 1. Basic Concepts 18 Circuit Theory; Jieh-Tsorng Wu 9 Circuit Elements Active Elements Independent sources 1. Basic Concepts Passive Elements Dependant sources 19 Circuit Theory; Jieh-Tsorng Wu Dependent Voltage Source and Current Source There are four possible types of dependent sources, namely: 1. A voltage-controlled voltage source (VCVS). 2. A current-controlled voltage source (CCVS). 3. A voltage-controlled current source (VCCS). 4. A current-controlled current source (CCCS). 1. Basic Concepts 20 Circuit Theory; Jieh-Tsorng Wu 10 Example Calculate the power supplied or absorbed by each element. 1. Basic Concepts 21 Circuit Theory; Jieh-Tsorng Wu 11