Physics Lesson Plan Teacher Howard Unit Title Length Goal(s)/PLO(s): Course Grade Level Block/Period Phys 12 12 K1 apply Ohm’s law and Kirchhoff’s laws to direct current circuits define resistance in terms of Ohm’s law solve problems involving – electric potential difference – current – resistance calculate the total (equivalent) resistance for resistors connected in parallel, series, or a combination of both 19-01 draw and interpret circuit diagrams construct circuits from schematic diagrams define electromotive force (emf), terminal voltage, and internal resistance solve problems using – terminal voltage – electromotive force (emf) – internal resistance – current – electric potential difference Materials: Timeline Date Class Size Lesson #, of Class Activities Introduction Body Notes 19-01, 19-02 Closure Questions 1-8, Problems 1-21 odd Chapter 19 DC Circuits All electric devices are essentially circuits with power sources, wires, switches and resistors combined in various ways. We will now look at how to analyze and understand simple circuits See table 19-1 for the symbols for circuit elements 19-01 EMF and Terminal Voltage All circuits need a device that transforms some form of energy into electrical energy • Battery, generator, solar cell… These devices are sources of electromotive force (emf) • Not a force measured in Newtons • In equations the symbol ε is used o Don’t confuse with E for electric field EMF (ε) The potential difference between the terminals of a source when no current flows. Units are volts. When you start a car with the lights on, the lights dim. • The voltage difference across the terminals of the battery momentarily dropped below the rated emf. o The chemical reactions in the battery couldn’t keep up with the large current drawn by the starter o The charge must move within the battery and there is some internal resistance r. The Terminal Voltage The emf minus the voltage drop due to the current and the internal resistance of the battery. V terminal= ε - Ir Example 19-1 In many questions we will assume that the internal resistance is small and that V terminal ≅ ε 19-02 Resistors in Series and Parallel When elements of a circuit are connected end to end along a single path they are said to be in series. • The same current must pass through each of the resistors V is the potential difference supplied by the battery. V 1 , V 2 , V 3 are the potential differences across each resistor R 1 , R 2 , R3. circuit-construction-kit-dc_en.jar From Ohm’s Law V=IR so V 1 =IR 1, V 2 =IR 2, V 3 =IR 3, Since the resistors are connected end to end and energy is conserved the total change in potential V is equal to the sum of the changes across each resistor. V = V 1 + V 2 + V 3 = IR 1 + IR 2 + IR 3, Or V = I (R 1 + R 2 + R 3 ) V= IR eq For resistors in series, the equivalent single resistor has a resistance equal to the sum of the individual resistors. If resistors are connected in parallel, the current from the source splits into separate paths The current I, splits into 3 separate currents I 1 , I 2 , and I 3 . Which pass through each resistor R 1 , R 2 , R 3 . Since electric charge is conserved I = I1 + I2 + I3 The full voltage is applied to each resistor and applying ohm’s law: For the complete circuit the equivalent resistance from ohm’s law is: After combining these 3 equations we get: The result is that the equivalent resistance is less than any individual resistor. • With the water analogy it is like adding an extra pipe to let water flow down from a dam • There is less resistance and more current flows Example 19-2, 19-3, 19-4, 19-5, 19-7 Questions 1-8, Problems 1-21 odd