Final answer:
The solution to the equation 6π = -2πq is q = -3, and in an electric dipole situation where -q is equidistant from +2q and -2q, the net force on -q will be directed toward the +2q charge.
Step-by-step explanation:
The solution to the equation 6π = -2πq is found by isolating the variable q on one side of the equation. This is done by dividing both sides of the equation by -2π, which gives us q = -3, making option B) q = -3 the correct answer.
Electric Dipole Force Direction
For the electric dipole scenario, in which a third charge, -q, is placed equidistant from a dipole with charges <+2q and -2q>, the direction of the net force on the third charge will be toward the positive charge of the dipole. Coulomb's Law states that opposite charges attract each other, so the -q charge will experience an attractive force toward the +2q charge of the dipole.