Understanding Vocabulary Section 15.1 1. coulomb 2. electrically neutral 3. static electricity 4. Coulomb’s law 5. friction 6. electroscope 7. induction Section 15.2 8. field lines 9. polarized 10. electric field Section 15.3 11. capacitor 12. farads Reviewing Concepts Section 15.1 1. positively; negatively 2. repel; attract 3. An object is electrically neutral when the net charge on the object is zero. 4. positive 5. 6.24 × 1018 6. It is the same size, but opposite in sign. 7. Because most objects are electrically neutral they exert no net force on one another. 8. The size of the charges and the distance between the charges determines the force between the charges. 9. The force between two charges increases by the square of the decrease in the distance between the charges. 10. Answers are: a. The force increases by four times. b. The force decreases by four times. c. The force decreases by nine times. d. The force becomes attractive (negative). e. The force is identical. 11. The laws are similar in form. The forces in each are inversely proportional to the square of the distance. Replacing the mass in Newton's law with charge in Coulomb's law and Newton's Universal Constant with the electrostatic constant makes the laws interchangeable. 12. The leaves will move apart. Negative charges are attracted to the ball, leaving the leaves positively charged and causing them to move apart by repulsion. 13. Touching an electroscope with a negatively charged object will charge the electroscope negatively. 14. The balloon will become negatively charged and your hair will become positively charged. This is called charging by friction. 15. Bring a charged object close to the electroscope. Ground the electroscope. Remove the ground from the electroscope. The electroscope will acquire a charge that is opposite to the charge of the object that was brought close to it. Section 15.2 16. Amperes of current measure of the number of coulombs of charge that flow past a point in one second. 17. Positive to negative; negative to positive 18. No, only the valence electrons. 19. The voltage of the battery causes the electrons that are already in the wire to drift through the wire. The electrons circulate through the entire circuit, including through the battery. 20. The electrons in a conductor are free to move; they are not free to move in an insulator. 21. joule; coulomb; watt; ampere Section 15.3 22. A capacitor is a device that stores electrical energy. A charged capacitor can create current in a circuit. 23. A capacitor is charged when one its plates has a positive charge and the other plate has a negative charge. 24. The current in a circuit containing a capacitor decreases to zero as the capacitor charges. The capacitor will stop charging and current will stop flowing when the voltage across the plates of the capacitor equals the voltage of the battery used to charge the capacitor. 25. The amount of charge a capacitor will hold, its capacitance, depends upon three factors: (1) the area of the plates, (2) the insulating material between the plates, and (3) the distance between the plates. Solving Problems Section 15.1 1. 2. Answers are: a. +2 b. -1 c. 0 or neutral 3. Current = charge per time I = (6 C)/(2 sec) = 3 amperes 4. Charge = current × time Q = (2 amps)(10 sec) = 20 C Section 15.2 5. Answers are: a. I = V/R= (3 V)/2Ω = 1.5 A b. 1.5 C c. Charge = current × time = (1.5 A)(2 sec) = 3 C 6. Power = Voltage × Current V = P/I = (6 W)/(2 A) = 3 V 7. Voltage = Energy/Charge V = W/Q = (6 J)/(2 C) = 3 V Section 15.3 8. q = CV = (3 F)(1.5 V) = 4.5 C 9. q = CV = (6 F)(1.5 V) = 9 C 10. q = CV = (6 F)(3 V) = 18 C Applying Your Knowledge Section 15.1 1. Synthetic materials, like nylon, seem to stick together the most and natural fibers, like cotton, are the least. 2. When the air contains humidity, the tiny droplets of water carry charge away making it more difficult for a net charge to be established on an object. 3. The law of attraction was experimentally verified by Charles Coulomb with a torsion balance he constructed himself. The torsion balance was used to measure the amount of torsion on a fiber when an electrostatically charged pith ball was brought close to another charged pith ball. When the two pith balls were charged by the same type of charge, the pith balls were repelled; when the two pith balls had opposite charges, the force between them was attractive. Coulomb was able to measure the torsion on the fiber and the distance between the balls, and he derived the equation that makes up Coulomb’s law: that the force between the two pith balls is directly proportional to the magnitude of the charges and inversely proportional to the square of the distance between them. 4. The stream of water is attracted to the charged object. The polar water molecules rotate, causing the end of the water molecule closest to the charged object to be of the opposite charge. A force is established between the oppositely charged object and the stream of water.