An α particle is a positively charge particle which is the nucleus of a helium atom 42he. An engineer who studied physics 158 e&m is designing a detector using a long metal wire and a uniform plastic plate. The details are as follows -- the long line carrying a uniform linear charge density +50. 0 μc/m runs parallel to and 10. 0cm from the surface of a large, flat plastic plate that has a uniform surface charge density of −100μc/m2 on one side. A) determine the individual electric fields of the wire and the plate. B) determine the total electric field of the wire and plate. C) determine the location of all points where an α particle would feel no force due to this arrangement of charged objects. Assume the plastic plate lies in the (x, y) plane