LNK2LRN™ 2009/10. AP Physics C. February 8 to 17. Ch.27 - Current and Resistance.
Plans for the Week and Assignments: 1. Monday(02/08): Intro. to Ch.27, Electric Current, Resistance, and Ohm's Law. HW: Read and study pages 831-40. Solve problems 2, 6, 7, 11, and 13 on page 852. 2. Tuesday(02/09): Electrical Energy and Power. HW: Read and Study pages 841-47, then solve problems 15, 17, 23, and 29 on pages 852-3. 3. Wednesday(02/10): LAB on Resistivity of Nichrome. HW: Process lab data. Lab Report is due Friday. 4. Thursday(02/11): Post-Lab Discussion. HW: Read and study pages 847-50, then solve problems 33, 37, 39, 41, and 47 on pages 853-4. 5. Friday(02/12): REVIEW I Chapter 27 - Current and Resistance. HW: Finish all Review Handouts. 6. Monday(02/15): No School - Presidents Day. HW: Finish homework assignments and study for test. 7. Tuesday(02/16): REVIEW II Chapter 27 - Current and Resistance. HW: Finish all Review Handouts. 8. Wednesday(02/17): TEST on Ch.27 - Current and Resistance. HW: Go to Website for notes and plans for Ch.28 - Direct Current (DC) Circuits. Very Important: If you have any questions or miss a class, see me before school (8:00 - 8:30 AM), during Lunch, or after school. Best to send an email to rpersin@fau.edu.
Website Notes on Ch.27 - Current and Resistance. 1. In electricity two fundamental concepts are current and voltage. For any electrical element the voltage (V) across the element is the potential difference between its two ends, while the current, I, (defined as I=dQ/dt) through the element is the rate at which electrical charges are flowing. 2. For many devices (but not all) the voltage and the current are proportional to each other, and we can write I = (1/R)∙V in which R is a constant of proportionality known as the resistance. 3. The current in a conductor is related to the motion of charge carriers through the equation I=nqvdA, where n is the density of charge carriers, and vd, the drift velocity. 4. Current density, J, can be calculated three ways with J=I/A, J=nqvd, and J=σE. The quantity, σ, is referred to as conductivity. 5. We can also calculate resistance, R, with R = pL/A with p, rho, being the resistivity. ( p = 1/σ) 6. Resistivity also has a temperature dependence which is given by the equation, ρ=ρo[1 + α·(T -To)], with α being a temperature coefficient. 7. The equation, V = I·R is known as Ohm's Law, and devices which obey Ohm's Law are known as linear or ohmic devices. 8. Familiar examples are resistors which are found in radios, TV sets, computers, and other electronic systems; the filaments of light bulbs; and the heating elements of electrical ovens. 9. There are however other devices which do not obey Ohm's Law, semiconductor devices such as transistors and diodes, and fluorescent light bulbs. These are known as nonlinear devices. 10. Ohm's Law can be used to solve simple circuits. A complete circuit is one which is a closed loop. It contains at least one source of voltage (thus providing an increase in potential energy) and at least one potential drop i.e., a place where potential energy decreases. 11. If a potential difference (voltage) is maintained across a resistor, the power, can be calculated with P = V·I = I2·R = V2/R. 12. An increase of potential energy in a circuit causes a charge to move from a lower to a higher potential (ie. voltage). Note the difference between potential energy and potential. 13. Because of the electrostatic force, which tries to move a positive charge from a higher to a lower potential, there must be another "force" to move charge from a lower potential to a higher inside the battery. 14. This so-called force is called the electromotive force, or emf. The SI unit for the emf is a volt (and thus this is not really a force, despite its name). We will use a script E, the symbol , to represent the emf. 15. A decrease of potential energy can occur by various means. For example,heat lost in a circuit due to some electrical resistance could be one source of energy drop. And still, we need these steps to solve any problem in Physics: (i) read the problem and identify the given variables (ii) determine what you are asked to solve for (iii) find the correct equation to use (iv) use Algebra, Trigonometry, and/or Calculus to isolate the unknown (v) substitute-in the given information and simplify.
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