Two point charges A and B of magnitude +8×10⁻⁶ C and -8×10⁻⁶ C respectively are placed a distance d apart. The electric field at the middle point O between the charges is 6.4×10⁴ N C⁻¹. The distance d between the point charges A and B is

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(2) 3.0 m. The charges are unlike, so at the midpoint both fields point from A towards B and their magnitudes add. Each charge is d/2 from O, so E=2·(kq)/((d/2)²)=(8kq)/(d²). 8kq=8×9×10⁹×8×10⁻⁶=5.76×10⁵. d²=(5.76×10⁵)/(6.4×10⁴)=9 m². d=3.0 m.

Two point charges A and B of magnitude +8×10⁻⁶ C and -8×10⁻⁶ C respectively are placed a distance d apart. The electric field at the middle point O between the charges is 6.4×10⁴ N C⁻¹. The distance d between the point charges A and B is

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