Three equal 1.60-μC point charges are placed at the corners of an equilateral triangle with sides 0.700 m long. What is the potential energy

Question

Three equal 1.60-μC point charges are placed at the corners of an equilateral triangle with sides 0.700 m long. What is the potential energy of the system? (Take as zero the potential energy of the three charges when they are infinitely far apart.)

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Diễm Kiều 2 months 2021-09-05T06:18:25+00:00 1 Answers 10 views 0

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    2021-09-05T06:19:26+00:00

    Answer:

    Potential Energy,U=0.09874J

    Explanation:

    Given an equilateral triangle with all 3 equal sides and equal charges of saya_1=a_2=a_3=1.60\mu C

    Potential energy,U, here is involved in the assembling of charges and the said charges are separated by infinite distances.Total potential energy is the  summation of all potential energy of interaction between each pair of charge.

    U=\frac{1}{4\pi \in_0}(\sum\frac{a_ia_j}{r_i_j})=\frac{1}{4\pi \in_0}(\frac{3a_1^2}{r_1_2})\\\\r_1_2=r_2_3=r_1_3=0.700m\\\\\frac{1}{4\pi \in_0}=9.0*10^9Nm^2/C^2\\\\U=(9.0*10^9Nm^2/C^2)(\frac{3(1.6*10^{-6}*C)^2}{0.700})\\\\U=0.09874J

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