Question

Consider two negative charges, -/q/ and -/3q/ , held fixed at the base of an equilateral triangle with side length s. The remaining vertex of the triangle is point P.

A.) what is the potential energy of this system of two charges?

B.) What is the electric potential at point P.?

C.) How much work will it take (similarly, what will the change in electric potential energy of the system) to bring a third negative charge (-/q₃/) to point P from a very large distance away.?

D.) If the third charge (–| q₃ |) is placed at point P, but not held fixed, it will experience a force and accelerate away from the other two charges. If q₃ = q = –1.0 nC, the mass of the third charge m₃ is 5.0 x 10^-12 kg, and s = 4.0 cm, what will the speed of charged particle #3 [in m/s] be after it has moved a very large distance away?

[Please enter your numerical answer without using scientific notation. Consider significant figures.]

Answer 1

(A)

the electric potential energy is

(B)

The electric potential at point p is

(c) the change is potential energy is

(d)

Using energy conservation