Electric Field on an Angle

Question

A uniform electric field exists throughout a region of space that contains all five points (A through E) shown. Points A through D are on a single left-right line. E is on a line at an angle theta from the line along which points A through D lie and is directly above point B. The distance between A and B is equal to the distance between B and C and is one-half the distance between A ant D.

Suppose a negative charge (Q₁) begins at rest in this field at point A and is allowed to move freely (free from all forces except the Coulomb force) to point B and gains an amount of kinetic energy ΔK. A second negative charge (Q₂) also begins at rest at point A and is allowed to move freely to point C and gains an amount of kinetic energy ΔK. Finally, a positive charge (Q₃) begins at rest at point A and is allowed to move freely to point D and gains an amount of kinetic energy 4ΔK.

Which statements below are TRUE? More than one may be correct.

Group of answer choices

The magnitude of the charge of Q₁ is one-quarter the magnitude of the charge of Q₃.

If Q₁ moved from A to E, it would lose an amount of electrical potential energy equal to ΔK.

The magnitude of the charge of Q₁ is twice the magnitude of the charge of Q₃.

The magnitude of the charge of Q₂ is equal to the magnitude of the charge of Q₁.

If Q₁ moved from A to E, it would lose an amount of electrical potential energy equal to ΔKcostheta

The field points to the right.

A negative charge with the same magnitude as Q₁ moved from B to E would result in no change in electrical potential energy.

The magnitude of the charge of Q₂ is one-half the magnitude of the charge of Q₁.

Answer 1