Question

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q₁ = 5.70 µC, q₂ = 1.90 µC, and

q₃ = −2.10 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. Calculate the magnitude of the electric field a distance r' = 1.00 cm to the left of the center marble.

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

−3.52 µC,

calculate magnitude and direction of the force on it.

Answer 1

I will attach the solution.

If any doubt, feel free to ask.

P.S. : A feedback is much appreciated.
14 lu = 3cm = 3x102m lize 9 cm = 2x152m 94' - loe 1x 10m E-- M' --...*.-313--+ . 5.7ouc -3.5 2uc - li.gore 9 -2.lone Total force on "q cnew marble) - + SFS Lt 9, 9 (-) + L URED (34,-24)2 quaq (+ê ) enz ** + Harga boy y je () = 9x tool 570 x 15€ x 3.52 X100CM - L 2x10-2) 2 e (1.90)(3:52) x1012+) (2-40)(852)x1012 (-2) (1x102)2 (3x10=212 = 9x109 5.086 x toto crâ) + 6.688x16 ºcté + 0.82x100 (m2) IN = 9x 109 x 0.852 * 16 °C+2 N 76.68 (+) N