物理 (英文 )

題目

Three point charges +q and a fourth, −12q,are assembled to form a square of side a.

Q: Find an expression for the electrostatic energy of this charge distribution.

(Express your answer in terms of q, a, and Coulomb constant k. )

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1 個解答

評分
  • 麻辣
    Lv 7
    6 年前
    最佳解答

    3 charges = +q & fourth = −12q form a square with side = a. Find electrostatic energy of this charge distribution. Express by q, a, & k.

    Coulombs:

    Q1 = Q2 = Q3 = +qQ4 = -12q Distances:R12 = R23 = R34 = R14 = aR13 = R24 = a√2 Energy:U = U12 + U13 + U14 + U23 + U24 + U34= kq^2/R12+kq^2/R13-12kq^2/R14+kq^2/R23-12kq^2/R24-12kq^2/R34= (1 + 1/√2 - 12 + 1 - 12/√2 - 12)kq^2/a= -(22 + 11/√2)kq^2/a= -11(4 + √2)kq^2/2a= -29.778kq^2/a

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