38.Charges +q,-4q and +2q are arranged at the corners of an equilateral triangle of side 0.15m.If q=1micro coloumb, their mutual potential energy is Share with your friends Share 4 Ved Prakash Lakhera answered this Charges +q, -4q and +2q are placed at the corners A, B and C of an equilatral triangleof side 0.15m. A charge of 1μC is placed at the centre of triangle ∆ABC.Applying sine rule to find length AO, i. e.rsin30° = 0.15sin120° or r = 0.15×sin30°sin120°= 0.15×1×23×2=0.15×33.or r = 0.05×1.732 or r = 0.08660m.The potential energy due to charges at corners A, B and C on charge1μC is given by,U = 14πε0+q0.0866-4q0.0866+2q0.0866×1×10-6 or U =- 14πε0×4q0.0866×1×10-6 =- 9×109×10-10×4q866or U =- 9q2165J.Charges +q, -4q and +2q are placed at the corners A, B and C of an equilatral triangleof side 0.15m. A charge of 1μC is placed at the centre of triangle ∆ABC.Applying sine rule to find length AO, i. e.rsin30° = 0.15sin120° or r = 0.15×sin30°sin120°= 0.15×1×23×2=0.15×33.or r = 0.05×1.732 or r = 0.08660m.The potential energy due to charges at corners A, B and C on charge1μC is given by,U = 14πε0+q0.0866-4q0.0866+2q0.0866×1×10-6 or U =- 14πε0×4q0.0866×1×10-6 =- 9×109×10-10×4q866or U =- 9q2165J. -8 View Full Answer
