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Q.

Four charges of equal magnitude 2 $μ$ C are kept at the four corners of a square of side 5cm. The force experienced by any one of them

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a

10 N

b

27.3 N

c

15 N

d

5 N

answer is B.

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Detailed Solution

$\begin{array}{l} (\frac{2 \sqrt{2} + 1}{2}) \frac{1}{4 {πε}_{o}} \frac{q^{2}}{a^{2}} \\ \frac{= (2 \times 1 .414) + 1}{2} \times 9 \times 10^{9} \frac{{(2 \times 10^{- 6})}^{2}}{{(5 \times 10^{- 2})}^{2}} \\ = \frac{3 .828}{2} \times 9 \times \frac{10^{9} \times 4 \times 10^{- 12}}{25 \times 10^{- 4}} = 27 .5616 N \end{array}$

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