Acharge q with mass m has a velocity v far away. a small metallic loop of area a and resistance r is fixed and oriented such, that it and the vector ~v are in the same plane. the impact parameter of the charge with respect to the loop is h. assuming that h > > r, there is not gravity and air resistance, find the velocity (magnitude and direction) of the charge after a very long time.

When a vertical beam of light passes through a transparent medium, the rate at which its intensity i decreases is proportional to i(t), where t represents the thickness of the medium (in feet). in clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity i0 of the incident beam. what is the intensity of the beam "10" feet below the surface? (give your answer in terms of i0. round any constants or coefficients to five decimal places.)