Three equal electric charges of each charge ' $q$ ' are placed at the vertices of an equilateral triangle of…

Three equal electric charges of each charge ' $q$ ' are placed at the vertices of an equilateral triangle of side of length ' $L$ ', then potential energy of the system is
  1. $\frac{1}{4 \pi \epsilon_0} \cdot \frac{3 q^2}{L}$
  2. $\frac{1}{4 \pi \epsilon_0} \cdot \frac{q^2}{3 L}$
  3. $\frac{1}{4 \pi \epsilon_0} \cdot \frac{2 q^2}{3 L}$
  4. $\frac{1}{4 \pi \epsilon_0} \cdot \frac{q^2}{L}$

Solution


The potential energy of the charge system is $\mathrm{U}=3\left(\frac{\mathrm{kq}}{\mathrm{~L}}\right)=\frac{1}{4 \pi \varepsilon_0} \cdot \frac{3 \mathrm{q}^2}{\mathrm{~L}}$

Asked in: AP EAMCET 2024 (21 May Shift 1)

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