E.F. at x=3 cm due to -6C , E1= -6x10-6x9x109/ (4x10-2)2 N/C
E.F. at x=3 cm due to 5C , E2= 5x10-6x9x109/ (3x10-2)2 N/C
E.F. at x=3 cm due to 6C , E3= 6x10-6x9x109/ (2x10-2)2 N/C
Total E.F. at x=3 cm, E = E1+E2+E3 = 15.12 x 107 N/C
E.F. at x=15 cm due to -6C , E4= -6x10-6x9x109/ (16x10-2)2 N/C
E.F. at x=15 cm due to 5C , E5= 5x10-6x9x109/ (15x10-2)2 N/C
E.F. at x=15 cm due to 6C , E6= 6x10-6x9x109/ (14x10-2)2 N/C
Total E.F. at x=15 cm, E = E4+E5+E6 = 0.27 x 107 N/C
Say at x cm the E.F. is zero.
so we can write
9x109x 10-6 x104[-6/(x+1)2+5/x2+6/(x-1)2]=0
Solving this we get x=0.69 cm
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