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Two point charges exert a 5.00 N force on each other. What will the force become if the distance between them is increased by a factor of three?

Short Answer

Expert verified

If the separation is increased to three times of the original, force will become 0.556N .

Step by step solution

01

Given Data

  • Value of point charges is 5.00 N
02

Electrostatic force

Coulomb stated that when two-point charges are separated by some distance, they experience some force of attraction or repulsion. This force of attraction or repulsion is known as electrostatic force.

03

New force

Initially, when the charges q and Q are separated by some distance r the electrostatic force between them is,

F=KqQr2..........(1.1)

Here, F is the electrostatic force (F = 5.00 N) , and K is the electrostatic force constant.

When the separation between the charges increased by a factor of three r'=3r. The new electrostatic force (F') between the point charges is,

F'=KqQr'2=KqQ3r2=KqQ9r2

Using equation (1.1),

F'=F9

Substituting 5.00 N for F,

F'=5.00N9=0.556N

Hence, when the separation becomes three times of the original, the new force will be 0.556 N.

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