Assume a capacitor connected to a voltage source with a supply voltage of 15 v and a- 4 x 10-6 m2, d 3 x 10-3 m with the initial dielectric being free space. if we insert a dielectric with er 3, determine the magnitude of charge which will migrate onto or off of the plates of the capacitor. 9 x 10-13 c of charge leaving the plates 3,5 x 10-13 of charge leaving the plates 3.5 10-13 c of additional charge accumulating on the plates 9 x 10-13 c of additional charge accumulating on the plates

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