Three point charges of 3 C , 4 C , and 5 C are arranged at the three corners of a right angled triangle A B C as shown in the figure. The work done in moving the charges at A and C , so that the three charges are located at the three corners of an equilateral triangle of side 3 ~cm is

Step-by-step solution

According to question, In a right angle triangle, in A B C aligned A C^2 & =A B^2+B C^2 A C & = A B^2+B C^2 = (4 10⁻² )^2+ (3 10⁻² )^2 A C & =5 10⁻² ~m aligned Initial electric potential energy of three charges, aligned U & = k q₁ q₂ A B + k q₁ q₃ A C + k q₂ q₃ B C & = k (4 3 10⁻¹² ) 4 10⁻² + k (4 5 10⁻¹² ) 5 10⁻² + k (3 5 10⁻¹² ) 3 10⁻² & =k [3 10⁻¹⁰+4 10⁻¹⁰+5 10⁻¹⁰ ] & =9 10^9 12 10⁻¹⁰ & =108 10⁻¹=10.8 ~J aligned When three charges located of an equilateral triangle of side 3 ~cm , the final potential energy of t