28. ** Two small spheres with charges q₁ =+ 8 nC and q2 =- 4 nC are placed at marks x₁ = 2 cm and x₂ = 13 cm. Where along the x-axis should you place a third sphere with charge 93 so that (a) the sum of the forces exerted by the first two spheres on the third one is zero, and (b) the total electric potential energy of the three spheres does not depend on 93?

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28. ** Two small spheres with charges q₁ =+ 8 nC and q2 =- 4 nC are placed at marks
X₁ =- 2 cm and x₂ = 13 cm. Where along the x-axis should you place a third sphere with
charge 93 so that (a) the sum of the forces exerted by the first two spheres on the third one
is zero, and (b) the total electric potential energy of the three spheres does not depend on
93?
Transcribed Image Text:28. ** Two small spheres with charges q₁ =+ 8 nC and q2 =- 4 nC are placed at marks X₁ =- 2 cm and x₂ = 13 cm. Where along the x-axis should you place a third sphere with charge 93 so that (a) the sum of the forces exerted by the first two spheres on the third one is zero, and (b) the total electric potential energy of the three spheres does not depend on 93?
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