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Field and force with three charges At a particular moment, one negative and two positive charges are located as shown in the figure. Your answers to each part of this problem should be vectors. It helps a great deal to make a diagram with arrows representing the various electric field contributions, and then check the signs of your components against these arrows. Let Q₁ = 1 μC, Q₂ = 5 μC, and Q3 = -6 μC. (a) Find the electric field at the location of Q₁, due to Q₂ and Q3. E = N/C (b) Use the electric field you calculated in part (a) to find the force on Q₁. F = N (c) Find the electric field at location A, due to all three charges. E = N/C 1 cm F--- Q₁ Q2 A Q3 (d) An alpha particle (He²+, containing two protons and two neutrons) is released from rest at location A. Use your answer from part (c) to determine the initial acceleration of the alpha particle. (Use 6.646 × 10-27 kg for the mass of He²+.) a = m/s²
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Transcribed Image Text:Field and force with three charges At a particular moment, one negative and two positive charges are located as shown in the figure. Your answers to each part of this problem should be vectors. It helps a great deal to make a diagram with arrows representing the various electric field contributions, and then check the signs of your components against these arrows. Let Q₁ = 1 μC, Q₂ = 5 μC, and Q3 = -6 μC. (a) Find the electric field at the location of Q₁, due to Q₂ and Q3. E = N/C (b) Use the electric field you calculated in part (a) to find the force on Q₁. F = N (c) Find the electric field at location A, due to all three charges. E = N/C 1 cm F--- Q₁ Q2 A Q3 (d) An alpha particle (He²+, containing two protons and two neutrons) is released from rest at location A. Use your answer from part (c) to determine the initial acceleration of the alpha particle. (Use 6.646 × 10-27 kg for the mass of He²+.) a = m/s²
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