Thursday, 20 July 2016 Announcements Grade appeals due by the end of Monday (Office closes at 5pm) ➔ Pick up homeworks 1-3 from lab room ➔ Pick up exam corrections (Will be put in lab room as well.) ➔ Participation credit quiz ➔ Exam next Wednesday: ch 28-31 – see course home page for materials. – Is there anything in particular that you want to review? -> Email me by Monday evening. ➔ The outline Today: • Resistors in series and in parallel • real batteries • Power dissipater • Power stored in capacitor • Dielectrics • RC circuits Monday: grounding, circuit review, and midterm review Intuition check – get your clickers ready… • Let all wires be ideal… • Assume ideal battery unless stated otherwise. For PH213, equate power dissipated with brightness… The three bulbs are identical and the two batteries are identical. Compare the brightnesses of the bulbs. A. B. C. D. E. A B C. A C B. A B C. A B C. A B C. QuickCheck 31.2 The three bulbs are identical and the two batteries are identical. Compare the brightnesses of the bulbs. A. B. C. D. E. A B C. A C B. A B C. A B C. A B C. Slide 31-27 The three bulbs are identical and the two batteries are identical. Compare the brightnesses of the bulbs. A. B. C. D. E. A B C. A C B. A B C. A B C. A B C. QuickCheck 31.3 The three bulbs are identical and the two batteries are identical. Compare the brightnesses of the bulbs. A. B. C. D. E. A B C. A C B. A B C. A B C. A B C. Slide 31-29 A comparison Images from : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/watcir2.html What does the pump create in the flow of water? Pumps create pressure difference. You can pump water uphill. What does the battery establish in the electric circuit? A battery create a potential difference in a circuit. A comparison Images from : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/watcir2.html Conservation of Water Flow Conservation of Current Resistor Combinations Slide 23-22 Capacitor Combinations Slide 23-30 Which resistor dissipates more power? A. The 9 resistor. B. The 1 resistor. C. They dissipate the same power. QuickCheck 31.7 Which resistor dissipates more power? A. The 9 resistor. B. The 1 resistor. C. They dissipate the same power. Slide 31-47 Example Problem Slide 22-34 Circuit Diagrams The top figure shows a literal picture of a resistor and a capacitor connected by wires to a battery. The bottom figure is a circuit diagram of the same circuit. A circuit diagram is a logical picture of what is connected to what. Circuit Elements Slide 31-22 Terminology • Ideal wire – R=0 ohms • Ideal insulator – R=∞ ohms • Ideal battery – emf (ε)=terminal voltage The lightbulbs are identical. Initially both bulbs are glowing. What happens when the switch is closed? A. B. C. D. E. Nothing. A stays the same; B gets dimmer. A gets brighter; B stays the same. Both get dimmer. A gets brighter; B goes out. QuickCheck 31.15 The lightbulbs are identical. Initially both bulbs are glowing. What happens when the switch is closed? A. Nothing. B. A stays the same; B gets dimmer. C. A gets brighter; B stays the same. D. Both get dimmer. E. A gets brighter; B goes out. Short circuit. Zero resistance path. Slide 31-89 Real Batteries Real batteries have what is called an internal resistance, which is symbolized by r. Slide 31-67 Real battery • You short circuit a real battery (internal resistance of 1 ohm) with a wire. Draw a circuit diagram, and calculate the maximum possible current that can travel through the wire. A Short Circuit Slide 31-71 Real Batteries A single resistor connected to a real battery is in series with the battery’s internal resistance, giving Req = R + r. Slide 31-68 Terminology • Ideal wire – R=0 ohms • Ideal insulator – R=∞ ohms • Ideal battery – emf (ε)=terminal voltage • Ideal ammeter • Ideal Voltmeter Kirchhoff’s Junction Law Slide 23-15 Kirchhoff’s Loop Law Slide 23-16 Tactics: Using Kirchhoff’s Loop Law Slide 31-33 The current through the 3 resistor is A. B. C. D. E. 9 A. 6 A. 5 A. 3 A. 1 A. QuickCheck 31.4 The current through the 3 resistor is A. B. C. D. E. 9 A. 6 A. 5 A. 3 A. 1 A. Slide 31-35 •Solve the following circuit using the tools that you have learned about so far. Make sure that you show all your working and that your reasoning agrees with your answers. 1.What is the current through and the voltage across each resistor? 2.If each of the resistors were light bulbs, rank them in order of brightness. A circuit Determine currents and voltages at each resistor. If the resistors would be light bulbs, rank them by brightness Slide 22-35