Giancoli Ch. 19 – p. 548-9, Problems #23-31 key

23) 0.41 A; 0 V

24) 18-V battery: 17.4 V; 12-V battery: 13.3 V

25a) -25.7 V

25b) 80-V battery: 77.4 V; 45-V battery: 43.3 V

26) 0 V

27) through R₁: 0.68 A, left; through R₂: 0.40 A, left

28) through R₁: 0.60 A, left; through R₂: 0.33 A, left

29) through R₁: 0.13 A, right; through R₂: 0.31 A, left; through R₃: 0.18 A, up

30) through R₁: 0.13 A, right; through R₂: 0.31 A, left; through R₃: 0.18 A, up

31) through 2 Ω: 0.26 A; through 6 Ω: 0.028 A; through 8 Ω; 0.29 A; through 10 Ω: 0.26 A; through 12 Ω: 0.29 A