Two charges of -4.0 μC and -5.0 μC are held fixed at the lower two corners of an equilateral triangle of side length 2.0 m, in a vacuum. How much energy to move a point charge of +3.0 μC from a point midway between the other two charges is requi apex of the triangle?

Respuesta :

Answer:

[tex] 0.18225 [/tex] Joules

Explanation:

[tex]L[/tex] = length of each side of triangle = 2 m

[tex]r_{i}[/tex] = initial distance of charge from other two charges at the lower two corners = (0.5) L = (0.5) (2) = 1 m

[tex]r_{f}[/tex] = final distance of point charge from other two charges at the apex of triangle = 2 m

[tex]q[/tex] = point charge = 3 x 10⁻⁶ C

[tex]q_{1}[/tex] = one of the charge on lower two corners = - 4 x 10⁻⁶ C

[tex]q_{2}[/tex] = other charge on lower two corners = - 5 x 10⁻⁶ C

[tex]E[/tex] = Energy required to move the point charge

Energy required to move the point charge

[tex]E = \frac{kqq_{1}}{r_{f}^{2}} + \frac{kqq_{2}}{r_{f}^{2}} - \frac{kqq_{1}}{r_{i}^{2}} - \frac{kqq_{2}}{r_{i}^{2}}[/tex]

[tex]E = 0.18225 [/tex] Joules