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Two electrically-charges spheres are suspended from insulated threads a certain

ID: 1416476 • Letter: T

Question

Two electrically-charges spheres are suspended from insulated threads a certain distance from each other.There is a certain amount of electrostatic force between them.Describe specifically (not just increase or decrease) what happens to this force in each of the scenarios below (1 pt. ea.):

The charge on one sphere is reduced by half

The charge on both spheres is doubled

The distance between the spheres is increased by a factor of three

The distance between the sphere is decreased to one-fourth

The charge of each sphere is doubled and the distance between them is doubled

Explanation / Answer

the electrostatic force b/w two charges F=9*10^9 Q Q/r^2

case 1

the charge is becomes half

the force becomes to the half because the force is directlly propertional to the charges

case 2

both charges are is doubled

the force becomes to =F'=9*10^9*4q1q2/r^2=4F

case 3

the distance becomes 3r

the force becomes to F"=9*10^9*q1q2/(3r)^2=F/9

case 4

the distance becomes to r/4

the force becomes F'=9*10^9q1q2/(r/4)^2=16 F

case 5

the charges is doubled ,distance is doubled

the force becomes F'=9*10^9*4 q1q2/4r2=F

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