For the following pair of electric field intensity, E1 = 412cos0 ar + 9.35r2sine a0 - (50cosq -2) aq V/m at (3,-4,2) E2 = 111/(0.1nt)(p2sin2q ap - 3p3cosq aq) - 500p2 az V/m at (1,1,1) Determine: a. a point charge Q1 and its location A that produces both E. b. (using the value of Q1 and A in a) the location B of Q2 = 12uC so that E = E1 + E2 = 0 at (0,0,0). c. (using the values of Q1 and A in a and Q2 and B in b) a point charge Q3 where it experiences a total force of 0.058N at (1,0,1).

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