Aflashlight bulb is connected to a square loop of wire that measures cm on a side as shown in the figure below. assume the bulb will only light if the potential across its terminals is at least v. the loop is oriented perpendicular to a uniform magnetic field of t. the magnetic field then decreases to zero over a period of time such that the bulb is just barely lit

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