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 2 µC, Q₂-9 μC, and Q3 -5 μC. (a) Find the electric field at the location of Q₁, due to Q₂ and Q N/C (b) Use the electric field you calculated in part (a) to find the force on Q₁ N (c) Find the electric field at location A, due to all three charges. N/C 6] m/s2 9₁ + Q₂ A (d) An alpha particle (He+, 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 x 10-2/ kg for the mass He²+.) Os

Principles of Physics: A Calculus-Based Text
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Chapter19: Electric Forces And Electric Fields
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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 = 2 µC, Q₂ = 9 μC, and Q3 = -5 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
E
m/s²
0₁
+
Q₂
A
Q
(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 x 10-27 kg for the mass of
He²+)
ā
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 = 2 µC, Q₂ = 9 μC, and Q3 = -5 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 E m/s² 0₁ + Q₂ A Q (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 x 10-27 kg for the mass of He²+) ā
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