Charges of 16.0 µC and - 24.0 µC are placed at two corners of an equilateral triangle with sides of 0.40 m. What is the magnitude of the electric field created by these two charges at the third corner of the triangle? (Show your work in details)

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Charges of 16.0 µC and - 24.0 µC are placed at two corners of an equilateral triangle with sides of 0.40 m. What is the magnitude of the electric field created by these two charges at the third corner of the triangle? (Show your work in details)

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Consider two charges are placed on the two corners of the base of a triangle and the diagram is shown below:

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The electric due to the charge q1 can be written as

E1=keq1r12E1=9×109N·m2/C216.0×10-6C0.40m2E1=9.0×105N/C1

The components of the electric field E1 can be written as

E1x=E1cosθE1x=9.0×105N/Ccos60°E1x=4.5×105N/C2E1y=E1sinθE1y=9.0×105N/Csin60°E1y=7.79×105N/C3

The electric due to the charge q2 can be written as

E2=keq2r22E2=9×109N·m2/C224.0×10-6C0.40m2E2=1.35×106N/C4

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