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Mike asked in Science & MathematicsPhysics · 7 years ago

Three identical point charges in an equilateral triangle.?

Q = +3uC

What are the magnitude and direction of the net electric force on the charge in the lower left side. The side of the triangle is 0.1 m.

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  • 7 years ago
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    First determine the directions of the fields at the lower left vertex:

    The field due to the top charge is at 240°

    The field due to the charge at the lower right is at 180°

    The magnitudes of the fields are the same E = kQ/r² = 2,696,266N/C

    Sum the horizontal components:

    Ex = Ecos240 + Ecos180 = -4,044,398 N/C

    Sum the vertical components:

    Ey = Esin240 + Esin180 = -2,335,034 N/C

    Magnitude = √Ex²+Ey²) = 4,670,069 N/C at arctan(-2,335,034/-4,044,398) = 210°

    F = qE = 14N at 210°

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