(a) Three point charges, A = 2.2 µC, B = 7.5 µC, and C = -3.9 µC, are located at
ID: 2052576 • Letter: #
Question
(a) Three point charges, A = 2.2 µC, B = 7.5 µC, and C = -3.9 µC, are located at the corners of an equilateral triangle as in the figure above. Find the magnitude and direction of the electric field at the position of the 2.2 µC charge.magnitude
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Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N/C
direction
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Your response differs from the correct answer by more than 10%. Double check your calculations.° (counterclockwise from the +x-axis)
Explanation / Answer
just put values and got answer:
The magnitude of the electric force, F, that a charged particle, q, exerts on another particle, Q, is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The direction of the force is along the line joining the particles." Mathematically: 92| || | 1 N.m², 9 10² 4 C oq Qk kr F = = × , where o is the permittivity of free space, o 9×10-12 C²/(N.m²). Coulomb's law applies to elementary particles and small charged objects as long as their sizes are much less than the distance between them. It is also applies to uniform spherical shells or spheres of charge. In that case, r, the distance between the centers of the spheres, must be larger than the sum of the sphere radii; that is to say, the charge must be largely separated. The electrostatic force between two point charges can be expressed in vector form. The force on 1q due to 2q is written as: 121 21212ˆq qk rrF =where 12r is a unit vector directed from 1q to 2q and r12 is the distance between them.. When more than one point charge is present, the total electrostatic force exerted on the ith charge is the vector sum of the forces exerted on that charge by others individually, i.e. 2jij i jjqk qri =j = 1 ii < jF = F rwhere jr is a vector directed from the charge, iq , to the point in question.
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