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 × 10 4 N C

Question

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 × 10 4 N C - 1 . The distance ' d ' between the point charges A and B is

TestHub · Accepted Answer

Direction of electric field at mid-point due to both charge will be in same direction, which is towards right.

Therefore, $E$ at mid-point $= \frac{k q}{{(\frac{d}{2})}^{2}} + \frac{k q}{{(\frac{d}{2})}^{2}}$

$\Rightarrow 6.4 \times 10^{4} = 2 \times [9 \times 10^{9} \times \frac{(8 \times 10^{- 6})}{d^{2}} \times 4]$

$\Rightarrow d = 3 m$

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