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Three point charges arranged as shown. Find magnitude and direction of the net e

ID: 1358244 • Letter: T

Question

Three point charges arranged as shown. Find magnitude and direction of the net electric are field at the origin. An electron travelling with initial velocity v = 2 Times 10^4 i m/s enters a region of uniform electric field E = 10i N/C. What is the magnitude and direction of the acceleration experienced by the electron? How far will it travel in the +x-direction before coming to a stop? Two equally charged, 1.00 g spheres are placed with 2.00 cm between their centers. When released, each begins to accelerate at 225 m/s^2. What is the magnitude of the charge on each sphere?

Explanation / Answer

multiple questions allowed to solve only 1 question at a time so i am solving question 3)

F = ma, find the net force exerted on one point charge.
F = (0.001) x (225) = 0.225N

Next, using Coulomb's Law,
F = (Q x q) / (4 x x 0 x r^2)

Since Q = q,
0.225 = (Q^2) / (4 x (3.14159) x (8.85 x 10^(-12)) x (0.02)^2)

Solving the equation, we get:
Q = 1.000 x 10^(-7) C = 1.00 nC ===================answer) part a)

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