A copper wire of length L and cross sectional area A is used in an electrical application. If the same wire is cut in half and the two pieces are connected in parallel in the same application, how does the wire resistance in the latter connection compare to the wire resistance in the initial connection?

A) The resistance is the same since it is the same wire

B) The resistance is doubled

C) The resistance is quadrupled

D) The resistance is halved

E) The resistance is quartered

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