Page 592 - Engineering Electromagnetics, 8th Edition

F APPENDIX

Answers to

Odd-Numbered

Problems

Chapter 1 1.23 (a) 6.28 (b) 20.7 (c) 22.4 (d) 3.21
1.1 (a)0.92a x + 0.36a y + 0.4a z 1.25 (a)1.10a r + 2.21a φ (b) 2.47 (c)0.45a r + 0.89a φ
(b) 48.6 (c) −580.5a x + 3193a y − 2902a z 1.27 (a) 2.91 (b) 12.61 (c) 17.49 (d) 2.53
1.3 (7.8, −7.8, 3.9) 1.29 (a)0.59a r + 0.38a θ − 0.72a φ
1.5 (a)48a x + 36a y + 18a z (b)0.80a r − 0.22a θ − 0.55a φ
(b) −0.26a x + 0.39a y + 0.88a z (c)0.66a r + 0.39a θ − 0.64a φ
(c)0.59a x + 0.20a y − 0.78a z
2
2 2
4
(d) 100 = 16x y + 4x + 16x + 16 + 9z 4 Chapter 2
√ √
1.7 (a) (1) the plane z = 0, with |x| < 2, |y| < 2; 2.1 (10/ 6, −10/ 6)
(2) the plane y = 0 with |x| < 2, |z| < 2; (3) the 2.3 21.5a x µN
plane x = 0, with |y| < 2, |z| < 2; (4) the plane 2.5
x = π/2, with |y| < 2, |z| < 2(b) the plane (a)4.58a x − 0.15a y + 5.51a z
(b) −6.89 or −22.11
2z = y, with |x| < 2, |y| < 2, |z| < 1
(c) the plane y = 0, with |x| < 2, |z| < 2 2.7 159.7a ρ + 27.4a φ − 49.4a z
2 1.5
2
2
1.9 (a)0.6a x + 0.8a y (b)53 (c)26 2.9 (a)(x +1) = 0.56 [(x +1) +(y −1) +(z −3) ]
◦
1.11 (a)(−0.3, 0.3, 0.4) (b) 0.05 (c) 0.12 (d)78 ◦ (b) 1.69 or 0.31
1.13 (a) (0.93, 1.86, 2.79) (b)(9.07, −7.86, 2.21) 2.11 (a) −1.63 µC
(c) (0.02, 0.25, 0.26) (b) −30.11a x − 180.63a y − 150.53a z
(c) −183.12a ρ − 150.53a z (d) −237.1
1.15 (a) (0.08, 0.41, 0.91) (b) (0.30, 0.81, 0.50) 2.13
(c) 30.3 (d) 32.0 (a) 82.1 pC (b) 4.24 cm 3
1.17 (a)(0.664, −0.379, 0.645) 2.15 (a) 3.35 pC (b) 124 µC/m
(b)(−0.550, 0.832, 0.077) 2.17 (a)57.5a y − 28.8a z V/m (b)23a y − 46a z
(c) (0.168, 0.915, 0.367) 2.19 (a)7.2a x + 14.4a y kV/m
1.19 (a)(1/ρ)a ρ (b)0.5a ρ ,or0.41a x + 0.29a y (b)4.9a x + 9.8a y + 4.9a z kV/m
1.21 (a) −6.66a ρ − 2.77a φ + 9a z 2.21 126a y µN/m
(b) −0.59a ρ + 0.21a φ − 0.78a z 2.23 (a) 8.1 kV/m (b) −8.1 kV/m
(c) −0.90a ρ − 0.44a z 2.25 −3.9a x − 12.4a y − 2.5a z V/m
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