Answers to Chapter 15 Problems

15.2.1 (a) 3.77 A (b) (i) 1.50 ×10¹¹ A m² (ii) 6.3%

15.2.1 Solution

15.2.2 1.1 × 10⁴ A m⁻²; 220 mm s⁻¹

15.2.2 Solution

15.7.1 9.45 W, 6.30 W, 3.78 W.

15.7.1 Solution

15.7.2 47 Ω

15.7.2 Solution

15.7.3 320 V

15.7.3 Solution

15.7.4 67 A; If the motor is faulty: R_motor = 0.57 Ω, which is possible

If the cable is faulty: R_cable = 7.9 mΩ, which is less than the original R_cable, which is not possible → the motor should be replaced

15.7.4 Solution

15.7.5 3.3 W; 0.42 °C s^–1

15.7.5 Solution

15.8.1 77.4 Ω; 0.020 A

15.8.1 Solution

15.8.2 R = r₁ - r₂: For power supply 2, however, r₁ - r₂is negative so there is no physically acceptable value of R that produces zero potential difference across the terminals.

15.8.2 Solution

15.8.3 The internal resistance of either battery is 2.2 Ω.

15.8.3 Solution

15.8.4 0.50 Ω or 17.95 Ω

15.8.4 Solution

15.8.5 20 A; (i) 1.25 W (ii) 42 mW; 0.1 Ω

15.8.5 Solution

15.9.1 70 Ω

15.9.1 Solution

15.10.1 (a) r_i = 0.85 Ω (b) E = 2.28 V

15.10.1 Solution

15.10.2 2.5 Ω

15.10.2 Solution

15.10.3 (i) R_AC = 78.9 Ω (ii) 105.8 Ω

15.10.3 Solution

15.10.4 (i) 0.19 A; 0.14 A; 0.34 A (ii) 2.3 V; 2.7 V (iii) 0.45 W; 0.33 W; 0.91 W

15.10.4 Solution

15.10.5

15.10.5 Solution

15.10.6 R/3

15.10.6 Solution

15.11.1 0.263 W

15.11.1 Solution

15.11.2

15.11.2 Solution

15.11.3 only the 50 Ω resistor exceeds its power rating

15.11.3 Solution

15.11.4 0.15 A through 10 Ω and 30 Ω; 0.05 A through 15 Ω and 5 Ω; 0.1 A through 20 Ω

15.11.4 Solution

15.11.5 4.96 mA through 400 Ω; 4.60 mA through 330 Ω; 0.36 mA through 47 Ω

15.11.5 Solution

15.12.1 (a) 44 W (b) 1.66 mW

15.12.1 Solution

15.13.1 (i) 2.60 V (ii) 0.04 Ω (iii) 0.26 A (iv) 29 W (in 5 V supply); 7.0 W (in 2 V supply)

15.13.1 Solution

15.14.1 2.0 km from B; 300 Ω

15.14.1 Solution

15.14.2 (i) 1.58 × 10⁵ A m⁻² (ii) 0.19 V

15.14.2 Solution

15.14.3 24.5 cm

15.14.3 Solution

15.14.4 0.8 Ω

15.14.4 Solution

15.14.5 95 m

15.14.5 Solution

15.14.6 (i) 3 × 10⁸ A m^–2 (ii) 6 × 10³ A m^–2 (iii) 2.3 × 10⁷ A m^–2

15.14.6 Solution

15.15.1 R_C = 91 Ω; R_Fe = 9.1 Ω

15.15.1 Solution

15.15.2 0.0017%; 0.0034%; 0.40%; 0.402%

15.15.2 Solution

15.15.3 0.76 Ω

15.15.3 Solution

15.15.4 1.39; less than 2% due to thermal expansion

15.15.4 Solution

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Answers to Chapter 15 Problems

Understanding Physics

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