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Three charged marbles are glued to a nonconducting surface and are placed in the diagram as...

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q1 = 5.65 µC, q2 = 1.91 µC, and q3 = −2.11 µC. Marble q1 is a distance r1 = 3.00 cm to the left of the marble q2, while marble q3 is a distance r3 = 2.00 cm to the right of the marble q2, as shown.

a. Calculate the magnitude of the electric field a distance r' = 1.00 cm to the left of the center marble.

b. Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of 3.86 µC,

calculate magnitude and direction of the force on it.

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