YOUNG 11e - Chapter 24 32. 563 nJ/m³ Chapter 26 84. (a) 7.10 J (b) 3.62 kW (c) 1.81 kW Fishbane Problems - Chapter 28 57. proof Chapter 29 2. (a) before - 14.4 micro Wb; after - zero (b) 0.360 mV 6. (a) 0.0302 V + (0.302 mV/s³)t³ (b) 0.113 mA 7. (d) the EMF direction is CCW (e) 0.506 microV 25. (b) towards top of page (clockwise makes no sense for the current in the rod) 26. (a) graph (b) graph 28. (a) 170 microN/C (b) 339 microN/C (c) 530 microN/C (d) counterclockwise 33. (a) 950 microV (b) 109 microH 77. (a) from a to b (b) (Rmg)tan(phi)/(L²B²cos(phi)) (c) (mg)tan(phi)/(LB) (d) Rm²g²tan²(phi)/(L²B²) (e) same answer as in (d) by a different method 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 30 46. (a) EMF(t)=(23.4 V)sin((240pi rad/s)t) two graphs (b) 23.4 V; zero (c) 0.124 A; zero 48. (a) (mu_0)i/(2pir) (b) Please ignore part (b) (but here is the answer: [(mu_0)i/(2pir)]l(dr) ) (c) [(mu_0)i(l)/(2pi)]ln(b/a) (d) trivial proof from part (c) (e) [(mu_0)i²(l)/(4pi)]ln(b/a) 62. (a) V1 = 33.3 V; V2 = V4 = 16.7 V; V3 = 0 V A1 = A3 = 0.333 A; A2 = 0 A (b) V1 = 38.5 V; V2 = 0; V3 = V4 = 11.5 V A1 = 0.385 A; A2 = 0.153 A; A3 = 0.230 A 68. (a) i1 = 1.50 A; i2 = 1.80 A (b) 2.40 A YOUNG 11e - Chapter 30 18. (a) 4.35 mT (b) 7.53 J/m³ (c) 1.52 microm³ (d) 11.4 microJ (e) 3.65 microH (f) same as (d) by a different method 66. (a) V1 = 25 V; V2 = V4 = 50.0 V; V3 = 0 V A1 = A3 = 0.500 A; A2 = 0 A (b) V3 = 75.0 V; all other meters read zero (c) 5.63 microC; long after S is closed 68. (a) 894 microC (b) 20.0 mJ (c) graph (cos function with amp 2.0 A) (d) graph (sin function with amp 894 microC) Halliday 2nd Ed Problems - Chapter 30 9. (a) 20 min (b) 59.4 m(N⋅m) 22. (a) 3750 m/s (b) drawing 29. (a) 2.60 x 10^6 m/s (b) 0.109 microseconds (c) 141 keV (d) 70.3 kV 31. (-11.4 N/C)i - (6 N/C)j + (4.8 N/C)k Wolfson - Chapter 30 42. (a) (mu0)J(|z|) (b) (mu0/2)Jh 48. (a) (mu0)I(sqrt(n²+(1/2piR)²)) (b) INVtan(1/2(pi)nR) 57. proof; out of the page 58. proof; out of the page 68. (a) (pi/3)R²J_0 (b) (mu0/6r)R²J_0 (c) (mu0/2)rJ_0(1-(2r/3R)) HRW PROBLEM SUPPLEMENT #1 - CHAPTER 30 73. (a) 4.8 mT (b) 0.933 mT (c) zero Fishbane Problems - Chapter 30 32. (a) Bmax = 174 microT; Bmin = 139 microT <== these answers use (b) 0.140 microWb (1 Wb = 1 T⋅m²) HRW's value of rho_CU (c) heating rate is 1.57 W; doesn't get very hot (16.9 nOhms⋅m) (a) Bmax = 175 microT; Bmin = 140 microT <== these answers use (b) 0.141 microWb (1 Wb = 1 T⋅m²) Wolfson's value (c) heating rate is 1.58 W; doesn't get very hot (16.8 nOhms⋅m) (a) Bmax = 171 microT; Bmin = 137 microT <== these answers use (b) 0.138 microWb (1 Wb = 1 T⋅m²) Y&F's value (c) heating rate is 1.54 W; doesn't get very hot (17.2 nOhms⋅m) Chapter 31 36. (a) 945 rad/s (b) 70.6 ohms (c) resistor - 120 V; capacitor - 450 V; inductor - 450 V (d) V4 = 0 V; V5 = 84.9 V (e) V1 = 27.4 V; V2 = 70.1 V; V3 = 150.4 V; V4 = 80.3 V; V5 = 84.9 V (f) V1 = 36.6 V; V2 = 180.6 V; V3 = 104.0 V; V4 = 76.6 V; V5 = 84.9 V 39. (a) use a transformer with half as many secondary turns as in the primary (b) 6.67 A (c) 36 Ohms YOUNG 11e - Chapter 31 60. C is 2.86 pF; R is 126 mOhms Halliday 2nd Ed Problems - Chapter 31 5. proof 25. (a) 78.5 microT (b) 1.08 microN⋅m Chapter 32 18. 15.9 microJ 20. (a) 240 microW (b) 17.4 V/m 52. 61.4 kV/m and 205 microT Halliday 2nd Ed Problems - Chapter 32 7. 0.452 V Wolfson - Chapter 32 9. ((mu_0)l/2pi)ln((a+w)/a) 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 28. (a) 63.4 degrees (b) 71.6 degrees 34. 32.3 W/cm² 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 Fishbane Problems - Chapter 33 46. DiffEq is -I(t)R - L(dI/dt) = 0 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) Wolfson - Chapter 34 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 HRW PROBLEM SUPPLEMENT #1 - CHAPTER 34 6. 4.74 m 40. (a) 15.9% (b) 84.1% Knight 2nd Ed - Chapter 35 24. (a) 3.33 microT (b) 1.67 microT in the negative x direction (c) 50 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 Knight 2nd Ed - Chapter 36 67. (a) 2.50 Ohms (b) 1.93 microF <= misprint corrected 8/05 (c) 50900 rad/s <= misprint corrected 8/05 G1 and G2: proofs