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

1. 2.0 m
2. 3.0 m
3. 1.0 m
4. 4.0 m

Correct answer: 3.0 m

Solution

The electric field at point O, which is equidistant from both charges, is the result of the superposition of the fields created by each charge. Given the magnitudes of the charges and the calculated electric field strength, the distance 'd' can be derived using the formula for the electric field due to point charges, confirming that the correct distance is 3.0 m.

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