two point charges with charge q are initially separated by a distance d. if you double the charge on both charges, how far should the charg

Question

two point charges with charge q are initially separated by a distance d. if you double the charge on both charges, how far should the charges be separated for the potential energy between them to remain the same

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RuslanHeatt 5 years 2021-07-14T14:30:42+00:00 1 Answers 24 views 0

Answers ( )

  1. thongdat2
    0
    2021-07-14T14:32:21+00:00
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    Answer:

      r ’= 4 r

    Explanation:

    Electric potential energy is

              U = k \frac{q_1q_2}{r_{12}}k q1q2 / r12

    in this exercise

              q₁ = q₂ = q

              U = k q² / r

    for when the charge change

               U ’= k q’² / r’

    indicate that

          q ’= 2q

          U ’= U

    we substitute

               U = k (2q) ² / r ’

               U = 4 k q² / r ’

    we substitute

               k \ \frac{q^2}{r} = 4 k \ \frac{q^2}{r'}k q² / r = 4 k q² / r ’

               r ’= 4 r

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