Chapter 33
 8. L_eq = L_1 + L_2
18. L = ((mu_0)N²h/2(pi))ln((R+w)/R);
    for R>>w, L = (mu_0)N²A/l
22. M = ((mu_0)a/2pi)ln((d+a)/d)
32. (a) L = 9.01 mH
    (b) U = 11.3 microJ
40. (a) u_B = (mu_0)I²r²/8(pi²)a^4
    (b) U_B/length = (mu_0)I²/16(pi)
42. 351 - 3510 ohms
46. I=(V/R)e^(-Rt/L)
47. ANSWER IN BACK IS WRONG IN SOME EDITIONS
    correct answer is (V²L)/(2R²)
50. 1.52x10^{13} Hz
52. Imax = q/sqrt(LC); t_max = (n+(1/2))(pi)sqrt(LC)
                               where n=0-infinity
56. 1.79 ohms
60. proof; E = Q_0²/2C
62. Imax = 224 mA; Qmax = 200 microC; Imin = Qmin = 0
64. proof

Chapter 34
 2. (a) $52.56
    (b) 67.8 M$
 4. 0.417 A
18. (a) t = (n+(1/2))8.33 ms + 2.78 ms;
             n = 0 to infinity
    (b) peak voltage = 217 V;
        t = (n+(1/2))8.33 ms - 1.39 ms;
             n = 0 to infinity
28. (a) X_C = 637 Ohms
        X_L = 12.6 Ohms
        Z = 626 Ohms
    (b) X_C = 31.8 Ohms
        X_L = 251 Ohms
        Z = 225 Ohms
    (c) X_C = 1.59 Ohms
        X_L = 5027 Ohms
        Z = 5025 Ohms
40. C = 1/2(pi)fR; L = R/2(pi)f
47. ANSWERS IN BOOK ARE WRONG IN SOME EDITIONS
    (a) (EMF_m)²R/2(omega²)L² 
              --> 0 as omega --> infinity
    (b) (1/2)(EMF_m)²R(omega²)C² 
              --> 0 as omega --> 0
    NOTE: the book uses V_0 for what I call EMF_m
Chapter 14
 4. z(x,t)=(3.09 cm)sin(kx+delta)cos(wt+phi)
    k=(pi/120)cm^-1; delta=+(pi/2) or -(pi/2)
    w=(2pi)s^-1; phi= -0.886 rad or 2.276 rad
    (the +delta goes with -phi and vice versa)
    (w here stands for omega)
13. at x=1.0 m, y = Asin(0.3 rad - (0.02 s^-1)t);
    at x=12.0 m, y = Asin(3.6 rad - (0.02 s^-1)t);
    graph each
14. (a) 2.09 m
    (b) 0.318 Hz
    (c) .4 m
    (d) 3.14 s
    (e) 3 m^{-1}
23. k=23 m^-1; f=48 Hz
Chapter 15
 8. (a) proof
    (b) A = 10 cm; f = 1.5 Hz
Chapter 35
16. B = (0.667nT)cos(kz-wt) in the -i direction
        with k = .0314 rad/m and w = 9.42 M rad/s;
        where w stands for omega
32. <u> = 2.90 nJ/m³ ; Erms = 18.1 V/m; 
                       Brms = 60.4 nT
52. I = (I_0)0.096 = (0.000127 C^2/Js)E_0^2