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Two point charges A and B of magnitude \mathrm{+8 \times 10^{-6} \mathrm{C}} and  \mathrm{-8 \times 10^{-6} C} respectively are placed at a distance d apart. The electric field at the middle point O between the charges is \mathrm{6.4 \times 10^{4} \mathrm{NC}^{-1}}. The distance 'd' between the point charges A and B is :

Option: 1

\mathrm{2.0 \mathrm{~m}}


Option: 2

\mathrm{3.0 \mathrm{~m}}


Option: 3

\mathrm{1.0 \mathrm{~m}}


Option: 4

\mathrm{4.0 \mathrm{~m}}


Answers (1)

Electric field at 'P'

\mathrm{E=\frac{Kq}{\left ( \frac{d}{2} \right )^{2}}}\times 2=8\frac{Kq}{d^{2}}

So,

\mathrm{E=\frac{8\times 9\times 10^{9}\times 8\times 10^{-6}}{d^{2}}}=6.4\times 10^{4}

         \mathrm{d^{2}=9}

         \mathrm{d=3m}

Hence option 2 is correct.

Posted by

Ramraj Saini

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