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27.6 Three charges are arranged as in Figure 27.10. shown x1 -55 R12 Q₂ O x₂ se R23 Figure 27.10 Q3 x3 7x What is the net force on Q₂ = +3 µC when μC, (a) Q₁ = +5 μC, Q3 = -5 µC, R12 = 0.5 m, R23 = 0.5 m

27.6 Three charges are arranged as in Figure 27.10. shown x1 -55 R12 Q₂ O x₂ se R23 Figure 27.10 Q3 x3 7x What is the net force on Q₂ = +3 µC when μC, (a) Q₁ = +5 μC, Q3 = -5 µC, R12 = 0.5 m, R23 = 0.5 m

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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27.9 Problems 27.1 The (average) distance between the proton and electron in a hydrogen atom is 5.3 × 10-11 m. (a) What is the magnitude of the elec- tric force on the proton (in N)? (b) What is the magnitude of the elec- tric force on the electron (in N)? 27.2 Two charged metal spheres are fixed in place 1 m apart. Sphere A has a charge of +1 mC while sphere B has a charge of +2 mC. (a) What is the electric force on sphere A (in N)? Answer the following question in terms of Ro or Fo. (b) What is the electric force on sphere (a) If the separation between charges B (in N)? Q₁ and Q₂ is changed to R where R = 3R what is the force between the two charges now? (c) What is the electric force on sphere A now (in N)? The charges on each sphere are altered such that sphere A now has a charge of +2 mC while sphere B has a charge of (b) +1 mC. The charges on each sphere are altered again such that sphere A now has a charge of-2 mC while sphere still B has a charge of +1 mC. (e) What is the electric force on sphere A now (in N)? (d) What is the electric force on sphere (c) What separation R between the B now (in N)? charges Q₁ and Q₂ would result in a force where F = F? (f) (c) a 2.5 N attractive force. a 1.0 N attractive force. (d) (e) a 1.0 N repulsive force. (f) (g) a 2.5 N repulsive force. a 5.0 N repulsive force. (h) a 10 N repulsive force. What is the electric force on sphere B now (in N)? 27.5 Two charges Q₁ and Q₂ are placed a distance Ro apart. At this time the mag- nitude of the force between the charges is Fo. 27.3 How far apart must two 1 C charges be in order for each to experience an elec- tric force of magnitude: (a) 9.00 x 10⁹ N (b) 4.50 x 10³ N (c) 1.00 N (d) 3.00 x 10-5 N (e) 9.00 x 10-⁹ N 27.4 Two charges Q₁ and Q₂ are placed 30 cm apart. Q₁ = -0.5 µC, what must Q₂ be if the force between the two charges is: (a) a 10 N attractive force. (b) a 5.0 N attractive force. (d) If the charge Q₁ is replaced by a charge Q3 where Q3 = 20₁ then what is the force F between the two charges now? (e) What separation R between the charges Q3 and Q₂ would result in a force F which has the same mag- nitude as Fo? If the separation between charges Q₁ and Q₂ is changed to R where R = 3R₁ and Q₁ is replaced by the charge Q3 what is the force between the two charges now? 27.6 Three charges are arranged as shown in Figure 27.10. R12 x₂ R23 Figure 27.10 What is the net force on Q₂ when (a) Q₁ = +5 µC, Q3 = -5 μC, R12 = 0.5 m, R23 = 0.5 m = +3 µC (b) Q₁ = -5 μC, Q3 = +5 µC, R12 = 0.5 m, R23 = 0.5 m (c) Q₁ = +5 µC, Q3 = +5 μC, R12 = 0.5 m, R23 = 0.5 m (d) Q₁ = -5 μC, Q3 = -5 μC, R12 = 0.5 m, R23 = 0.5 m (e) (f) (g) (h) (i) (j) Q1 = +5 μC, Q3 = −2 μC, R12 = 0.5 m, R23 = 0.2 m Q₁ = -2 μC, Q3 = +5 μC, R12 = 0.2 m, R23 = 0.5 m Q₁ = -2 µC, Q3 = −5 µC, R12 = 0.2 m, R23 = 0.5 m Q₁ = +2 µC, Q3 = +5 μC, R12 = 0.2 m, R23 = 0.5 m ₁ = +1 μC, Q3 = +4 μC, R12 = 0.2 m, R23 = 0.4 m Q₁ = +1 µC, Q3 = +4 μC, R12 = 0.4 m, R₂3 = 0.2 m 27.7 What would the electric force on a charge Q be at each of the points shown in Figure 27.11 when: A +2 µC 1 m A B (a) Q=1 μC (b) Q = +1 µC (c) Q = +2 μC 1m1m -2 uC 1 m +2 uC с D imim Figure 27.11 27.8 What would the electric force on a charge Q be at each of the points shown in Figure 27.12 when: B C D imim 1mim E 1m +2 MC Figure 27.12 (a) Q=-0.10 μC (b) Q = +0.10 μC (c) Q = +0.5 μC E 1m
Transcribed Image Text:27.9 Problems 27.1 The (average) distance between the proton and electron in a hydrogen atom is 5.3 × 10-11 m. (a) What is the magnitude of the elec- tric force on the proton (in N)? (b) What is the magnitude of the elec- tric force on the electron (in N)? 27.2 Two charged metal spheres are fixed in place 1 m apart. Sphere A has a charge of +1 mC while sphere B has a charge of +2 mC. (a) What is the electric force on sphere A (in N)? Answer the following question in terms of Ro or Fo. (b) What is the electric force on sphere (a) If the separation between charges B (in N)? Q₁ and Q₂ is changed to R where R = 3R what is the force between the two charges now? (c) What is the electric force on sphere A now (in N)? The charges on each sphere are altered such that sphere A now has a charge of +2 mC while sphere B has a charge of (b) +1 mC. The charges on each sphere are altered again such that sphere A now has a charge of-2 mC while sphere still B has a charge of +1 mC. (e) What is the electric force on sphere A now (in N)? (d) What is the electric force on sphere (c) What separation R between the B now (in N)? charges Q₁ and Q₂ would result in a force where F = F? (f) (c) a 2.5 N attractive force. a 1.0 N attractive force. (d) (e) a 1.0 N repulsive force. (f) (g) a 2.5 N repulsive force. a 5.0 N repulsive force. (h) a 10 N repulsive force. What is the electric force on sphere B now (in N)? 27.5 Two charges Q₁ and Q₂ are placed a distance Ro apart. At this time the mag- nitude of the force between the charges is Fo. 27.3 How far apart must two 1 C charges be in order for each to experience an elec- tric force of magnitude: (a) 9.00 x 10⁹ N (b) 4.50 x 10³ N (c) 1.00 N (d) 3.00 x 10-5 N (e) 9.00 x 10-⁹ N 27.4 Two charges Q₁ and Q₂ are placed 30 cm apart. Q₁ = -0.5 µC, what must Q₂ be if the force between the two charges is: (a) a 10 N attractive force. (b) a 5.0 N attractive force. (d) If the charge Q₁ is replaced by a charge Q3 where Q3 = 20₁ then what is the force F between the two charges now? (e) What separation R between the charges Q3 and Q₂ would result in a force F which has the same mag- nitude as Fo? If the separation between charges Q₁ and Q₂ is changed to R where R = 3R₁ and Q₁ is replaced by the charge Q3 what is the force between the two charges now? 27.6 Three charges are arranged as shown in Figure 27.10. R12 x₂ R23 Figure 27.10 What is the net force on Q₂ when (a) Q₁ = +5 µC, Q3 = -5 μC, R12 = 0.5 m, R23 = 0.5 m = +3 µC (b) Q₁ = -5 μC, Q3 = +5 µC, R12 = 0.5 m, R23 = 0.5 m (c) Q₁ = +5 µC, Q3 = +5 μC, R12 = 0.5 m, R23 = 0.5 m (d) Q₁ = -5 μC, Q3 = -5 μC, R12 = 0.5 m, R23 = 0.5 m (e) (f) (g) (h) (i) (j) Q1 = +5 μC, Q3 = −2 μC, R12 = 0.5 m, R23 = 0.2 m Q₁ = -2 μC, Q3 = +5 μC, R12 = 0.2 m, R23 = 0.5 m Q₁ = -2 µC, Q3 = −5 µC, R12 = 0.2 m, R23 = 0.5 m Q₁ = +2 µC, Q3 = +5 μC, R12 = 0.2 m, R23 = 0.5 m ₁ = +1 μC, Q3 = +4 μC, R12 = 0.2 m, R23 = 0.4 m Q₁ = +1 µC, Q3 = +4 μC, R12 = 0.4 m, R₂3 = 0.2 m 27.7 What would the electric force on a charge Q be at each of the points shown in Figure 27.11 when: A +2 µC 1 m A B (a) Q=1 μC (b) Q = +1 µC (c) Q = +2 μC 1m1m -2 uC 1 m +2 uC с D imim Figure 27.11 27.8 What would the electric force on a charge Q be at each of the points shown in Figure 27.12 when: B C D imim 1mim E 1m +2 MC Figure 27.12 (a) Q=-0.10 μC (b) Q = +0.10 μC (c) Q = +0.5 μC E 1m
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