ECET 3000 Principles of Electricity Fall-2012 Chapter 1 Basic DC Circuits Fall-2012 1 Objectives • Distinguish between dc and ac and discuss some of the basic properties of each. • State and describe the basic circuit variables including charge, voltage, current, power, and energy. • Define resistance and conductance and show the schematic symbol. Fall-2012 2 Objectives • State the properties of the ideal voltage source and ideal current source models and show their schematic symbols. • State and apply Ohm’s law. • Discuss voltage and current measurements and how they are made. • State and apply Kirchoff’s voltage law. • State and apply Kirchoff’s current law. Fall-2012 3 Objectives • Determine equivalent resistance using series and parallel combinations. • Analyze a single-loop (series) circuit to determine all the variables. • Analyze a single node-pair (parallel) circuit to determine all the variables. • State and apply the voltage divider rule. • State and apply the current divider rule. Fall-2012 4 1-1 DC Circuit Variables • • • • • Resistance “R” (Ohm: Ω) Voltage “V” (Volt: V) Current “I” (Ampere: A) Power “P” (Watt: W) Energy “W” or “E” (Joules: J, or watt-hour) Fall-2012 5 Comparison of DC Voltage & AC Voltage Fall-2012 6 Conventional Current Flow in Opposite Direction to Electron Flow Fall-2012 7 Voltage Between Two Points in a Circuit Fall-2012 8 Schematic Symbols for an Ideal Voltage Source and a Battery Fall-2012 9 Schematic Symbol for the Ideal Current Source Fall-2012 10 Schematic Symbol for a Resistance Fall-2012 11 Illustration of Short Circuit & Open Circuit Fall-2012 12 Simple Circuit Used to Illustrate Ohm’s Law Fall-2012 13 Different Types of Ground Fall-2012 14 Simple Circuit Redrawn with Ground Symbols Fall-2012 15 1-3 Measuring DC Circuit Variables • Ohm-meter • Volt-meter • Am-meter • Multi-meter Fall-2012 16 Voltmeters are Always Connected Between Two Points in a Circuit Across Which the Voltage is to be Measured Fall-2012 17 Ammeters are always Connected Within the Branch for Which Current is to be Measured Fall-2012 18 1-4 Power and Energy • Energy: work performed, or capacity to perform work • Power: rate of change of energy Fall-2012 19 Reference Directions for Power Delivered Fall-2012 20 Reference Directions for Power Absorbed Fall-2012 21 1-5 Kirchoff’s Laws • Kirchoff’s Voltage Law: algebraic sum of all voltages in a closed loop = zero • Kirchoff’s Current Law: algebraic sum of all currents in a node = zero Fall-2012 22 A Loop Used to Illustrate Kirchoff’s Voltage Law Fall-2012 23 Illustration of Kirchoff’s Current Law at a Node Fall-2012 24 Circuit of Example 1-8 Fall-2012 25 Circuit of Example 1-9 Fall-2012 26 1-6 Equivalent Resistance • Series-connected resistances • Parallel-connected resistances • Series & parallel-connected resistances Fall-2012 27 Resistances in Series and the Equivalent Single Resistance Fall-2012 28 Resistances in Parallel and the Equivalent Single Resistance Fall-2012 29 Circuit of Example 1-10 Fall-2012 30 Reduction of the Circuit of Example 1-10 Fall-2012 31 1-7 Single-Loop or Series Circuit • One current (shared by all circuit’s components • Multiple voltages: – Voltage drop (across resistance) – Voltage rise (across sources) • Series circuit: Voltage divider Fall-2012 32 Representative Single-Loop Circuit (Series Circuit) Fall-2012 33 Circuit of Example 1-11 Fall-2012 34 Circuit of Example 1-12 Fall-2012 35 1-8 Single Node-Pair or Parallel Circuit • One voltage (drop or rise) shared by all circuit’s components • Multiple currents: branch currents • Parallel circuit: Current divider Fall-2012 36 Single Node-Pair (Parallel) Circuit Fall-2012 37 Representative Parallel Circuit with Current Sources Fall-2012 38 Circuit of Example 1-13 Fall-2012 39 Circuit of Example 1-14 Fall-2012 40 1-9 Voltage and Current Divider Rules • Kirchoff’s Voltage Law • Kirchoff’s Current Law Fall-2012 41 Circuit Used to Illustrate the Voltage Divider Rule Fall-2012 42 Circuit Used to Illustrate the Current Divider Rule Fall-2012 43 Circuit of Example 1-15 Fall-2012 44 Circuit of Example 1-16 Fall-2012 45