Point charges of 6.0 mC and 4.0 mC are placed on an x axis, at x 8.0 m and x 16

Question

Point charges of 6.0 mC and 4.0 mC are placed on an x axis, at x 8.0 m and x 16 m, respectively. What charge must be placed at x 24 m so that any charge placed at the origin would experience no electrostatic force? Free body diagram included please Point charges of 6.0 mC and 4.0 mC are placed on an x axis, at x 8.0 m and x 16 m, respectively. What charge must be placed at x 24 m so that any charge placed at the origin would experience no electrostatic force? Free body diagram included please Point charges of 6.0 mC and 4.0 mC are placed on an x axis, at x 8.0 m and x 16 m, respectively. What charge must be placed at x 24 m so that any charge placed at the origin would experience no electrostatic force? Free body diagram included please

Explanation / Answer

Here, k = Coulomb constant

          Q =   charge must be placed

Here, F1 + F2 = F3

=>   k * 6.0/82 + k * 4.0/162 = k * Q/242

=>   Q = 63 mC

Thus, charge must be placed at x 24 m =   63 mC

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