An alpha particle, which has charge 3.20 ✕ 10−19 C, is moved from point A, where the electric potential is 3.10 ✕ 103 J/C, to point B, where the electric potential is 4.40 ✕ 103 J/C. Calculate the work in electron volts done by the electric field on the alpha particle.

A particle is uncharged and is thrown vertically upward from ground level with a speed of 27.0 m/s. As a result, it attains a maximum height h. The particle is then given a positive charge +q and reaches the same maximum height h when thrown vertically upward with a speed of 28.1 m/s. The electric potential at the height h exceeds the electric potential at ground level. Finally, the particle is given a negative charge -q. Ignoring air resistance, determine the speed with which the negatively charged particle must be thrown vertically upward, so that it attains exactly the maximum height h. In all three situations, be sure to include the effect of gravity.

A plastic rod has been bent into a circle of radius R = 11.5 cm. It has a charge Q1 = +2.85 pC uniformly distributed along one-quarter of its circumference and a charge Q2 = -6Q1 uniformly distributed along the rest of the circumference (see the figure). With V = 0 at infinity, what is the electric potential (a) at the center C of the circle and (b) at point P, which is on the central axis of the circle at distance D = 3.04 cm from the center? Q2 (a) Number Units (b) Number Units >

A plastic rod has been bent into a circle of radius R = 8.00 cm. It has a charge Q₁ = +5.72 pC uniformly distributed along one-quarter of its circumference and a charge Q₂ = -6Q₁ uniformly distributed along the rest of the circumference (see the figure). With V = 0 at infinity, what is the electric potential (a) at the center C of the circle and (b) at point P, which is on the central axis of the circle at distance D = 7.27 cm from the center? (a) Number i (b) Number i Q2 Units V Units V с 2₁