electric field due to q , E1x = -k*q/b^2 = -9*10^9*4*10^-6/0.5^2 = -144000 N/C
E1y = 0
distance from Q to Point P , r = sqrt(a^2+b^2 )= sqrt(30^2+50^2) = 58.3 cm = 0.583 m
electric field due to Q , E2x = k*Q*b/r^3
E2x = 9*10^9*5*10^-6*0.5/0.583^3
E2x = 113547.3 N/C
E2y = -k*Q*a/r^3
E2y = -9*10^9*5*10^-6*0.3/0.583^3
E2y = -68128.4 N/C
Ex = E1x + E2x = -144000 + 113547.3 = -30452.7 N/C
Ey = E1y + E2y = -68128.4 N/C
magnitude E = sqrt(E^2+Ey^2)
magnitude E = 74624.7 N/C
direction tan^-1(Ey/Ex) = 246 degress counter clockwise with +x axis
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