Chapter 28 52. (a) 29.2 Ohms (b) 19.7 mF Fishbane Problems - Chapter 28 57. proof Halliday 2nd Ed Problems - Chapter 29 22. (a) by integration, U_C = (1/2)C(EMF)² and energy out from battery = C(EMF)² (b) by integration, heat from resistor = (1/2)C(EMF)² Chapter 31 4. (a) 628 microWb (b) 6910 microWb (c) 2.51 mA (d) CCW from above 26. 130 turns 34. (a) the upward magnetic force is proportional to the falling speed (b) mgr/w²B² (c) CCW in the figure 38. (a) 531 V/m (b) CCW in the figure (c) 4.01 keV 48. mgR/B²l²cos(theta) 50. (a) 57.3 V (b) the lead at the rim is positive Halliday 2nd Ed Problems - Chapter 31 5. proof 25. (a) 78.5 microT (b) 1.08 microN⋅m HRW PROBLEM SUPPLEMENT #1 - CHAPTER 31 90. (a) 43.9 Mm/s² to the right (b) zero (c) 43.9 Mm/s² to the left WOLFSON - CHAPTER 31 33. (a) 100 mV - you must show your work carefully (b) 25 mA (c) 1.25 mN (d) 2.5 mW (e) 2.5 mW Chapter 32 22. proof - NOTE: You are expected to ignore the magnetic flux inside of the inner wire and within the thin outer shell. Include only the flux between the pieces of metal. GBA 36. (a) 1.00 A (b) 0.429 A (c) -1.71 A (negative since I2 flows opposite the assumed current direction in the figure) 64. (mu0)I²/16pi 68. (a) (mu0)I²/8(pi)²r² (b) proof (c) proof Young and Freedman Problems - Chapter 31 60. C = 2.86 pF and R = 126 mOhms (be sure to keep C to full precision in your calculator for the calculation of R) Young and Freedman Problems - Chapter 32 47. 36.6 mV Halliday 2nd Ed Problems - Chapter 32 7. 0.452 V 27. 15.5 microC HRW PROBLEM SUPPLEMENT #1 - CHAPTER 32 28. (a) 1.89 pT (b) graph; at 10 cm, B = 0.565 pT 38. (a) (4/3) A (b) at R/4 and at 4R Chapter 33 58. (a) 17 on the power line side to 1 on the house side (b) 39.1 A (rms) Halliday 2nd Ed Problems - Chapter 33 11. (a) 238.7 W (b) 154.8 W (c) 393.5 W 12. (a) 18.7 J (b) 5.10 J (c) 13.6 J HRW PROBLEM SUPPLEMENT #1 - CHAPTER 33 5. (a) n(5.00 microseconds) where n=1,2,3,4,... (b) (2n+1)(2.50 microseconds) where n=0,1,2,3,4,... (c) (2n+1)(1.25 microseconds) where n=0,1,2,3,4,... 12. (a) 3.6 mH (b) 1326 Hz (c) 189 microseconds 44. (a) 16.6 Ohms (b) 422 Ohms (c) 521 mA (d) 33.2 Ohms (e) 408 Ohms (f) 539 mA 50. 100 V (you must carefully explain why) Fishbane Problems - Chapter 33 46. DiffEq is -I(t)R - L(dI/dt) = 0 Chapter 34 4. proof 6. (a) 7.20 x 10^{11} (V/m)/s (b) increasing 20. (a) 3.00 m (b) 10.0 cm (c) 500 nm (d) 0.300 nm 36. (1/8)S_0 40. 2.51 kV/m 52. 3.50 gauss 64. 63.4° HRW PROBLEM SUPPLEMENT #1 - CHAPTER 34 6. 4.74 m Halliday 2nd Ed Problems - Chapter 36 1. (a) 5.22 mA (b) zero (c) 4.52 mA (d) taking energy (you must explain why) 2. (a) 39.1 mA (b) zero (c) -33.9 mA (d) supplying energy (you must explain why) 4. 0.6 A for all frequencies 17. (a) 76.4 mH (b) yes; 17.8 Ohms; resistor would consume energy, not store it G1 and G2: proofs G3 and G4: proofs