An electron is released from the negatively-charged plate of a parallel plate capacitor, initially at rest, and it is accelerated across the gap to hit the positively-charged plate. If the capacitor was powered by a 12 V battery, the capacitor was fully charged, what was the kinetic energy of the electron when it hit the positively-charged plate

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants