3. Consider a plastic ring of radius R = 50.0 cm on which there are two charged beads as shown in the figure above. Bead 1 has q1 = +2.00 uC and is fixed in place on the x-axis. Bead 2 has q; = +6.0 uC and can be moved along the ring. 6!) bl Determine the positive angle 8 for q: which can produce a net Electric field of magnitude E = 2.00 x 105 N/C at the centre of the ring ?? Rms: 1' Is there any negative angle 8' for C|2 which can produce a net Electric field of J {11; M 1' magnitude E = 2.00 x 105 MC at the centre of the ring ?? If so, calculate that angle. BvII [* T ' - . l 4. Consider an infinite slab of charge with a uniform volume charge density p(C/m3) throughout its volume. The thick slab is located in a vertical (y,z) plane between x = L and x = +L. a) Use Gauss's Law to determine the Electric Field for any point x > L to the right of the slab. b) Use Gauss's Law to determine the Electric Field for any point inside the slab ( L S x S +1.). 5. An (1 particle is a positively charge particle which is the nucleus of a helium atom 4He. 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 uC/m runs parallel to and 10.0cm from the surface of a large, flat plastic plate that has a uniform surface charge density of 1CIDuC/m2 on one side. a) Determine the individual Electric Fields produced by the wire and the plate. b) Determine the MElectric Field produced by the wire and plate. c) Determine the locus of all points where an or particle would feel no force due to this arrangement of charged objects. Assume the plastic plate lies in the (icy) plane