Answer:
Potential Energy,[tex]U=0.09874J[/tex]
Explanation:
Given an equilateral triangle with all 3 equal sides and equal charges of say[tex]a_1=a_2=a_3=1.60\mu C[/tex]
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.
[tex]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[/tex]
The potential energy of the system is equal to 0.099 Joules.
Given the following data:
Scientific data:
To calculate the potential energy of the system:
The total potential energy (U) of the system is equal to the sum of all potential energy possessed in between each pair of charge.
Mathematically, the total potential energy (U) in an electric field is given by this formula:
[tex]U=\frac{3q^2k}{r^2} [/tex]
Where:
Substituting the parameters into the formula, we have;
[tex]U=\frac{3 \times (1.6 \times 10^{-6})^2 \times 8.99 \times 10^9}{0.7^2} \\\\U=\frac{3 \times 2.56 \times 10^{-12} \times 8.99 \times 10^9}{0.49}[/tex]
U = 0.099 Joules.
Read more on electric field here: https://brainly.com/question/14372859
