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 90. (a) 43.9 Mm/s² to the right (b) zero (c) 43.9 Mm/s² to the left Chapter 32 22. proof 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 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 2. (a) 39.1 mA (b) zero (c) -33.9 mA (d) supplying energy 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