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Two point charges are 4 cm apart. They are moved to a new separation of 8 cm. By what factor does the resulting mutual force between them change?.

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The resulting mutual force between the charges will change by a factor of 1/4.

Newton's law of universal gravitation

States that the force between two charges in an electric field is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.

From the law above.

  • F α 1/r²........................ Equation 1

If the distance between the charges is changed from 4 cm to 8 cm, the factor at which the force will change is

  • Factor = (1/8²)/(1/4²)
  • Factor = (1/64)(16)
  • Factor = 1/4.

Hence, The resulting mutual force between the charges will change by a factor of 1/4.
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