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Q.

Two point charges +9e and +e are kept 16 cm apart from each other. Where should a third charge q be placed between them so that the system is in equilibrium state?

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a

24 cm from +e

b

12 cm from +e

c

12 cm from +9e

d

24 cm from +9e

answer is B.

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Detailed Solution

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Let the charge q be placed between the given two charges and at a distance r from the charge 9e.

$\frac{K (9 e) q}{r^{2}} = \frac{Keq}{{(16 - r)}^{2}} \Rightarrow \frac{3}{r} = \frac{1}{16 - r} \Rightarrow r = 12 cm$

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Two point charges +9e and +e are kept 16 cm apart from each other. Where should a third charge q be placed between them so that the system is in equilibrium state?