```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

```