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>>Class 12
>>Physics
>>Electric Charges and Fields
>>Problems Based on Coulomb's Law
>> $Two point charges A and B, having charge$

Question

Two point charges A and B, having charges +Q and -Q respectively, are placed at certain distance apart and force acting between them is F. If 25% charge of A is transferred to B, then force between the charges becomes

A

$F$

B

$\frac{9 F}{1 6}$

C

$\frac{1 6 F}{9}$

D

$\frac{4 F}{3}$

Medium

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Solution

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Correct option is B)

$F = \frac{K Q ^{2}}{r ^{2}}$
If 25% of charge of A transferred to B then
$q_{A} = Q - \frac{Q}{4} = \frac{3 Q}{4}$ and $q_{B} = - Q + \frac{Q}{4} = \frac{- 3 Q}{4}$
$F_{1} = \frac{k q _{A} q _{B}}{r ^{2}}$
$F_{1} = \frac{k ( \frac{3 Q}{4} ) ^{2}}{r ^{2}}$
$F_{1} = \frac{9}{1 6} \frac{k Q}{r ^{2}}$
$⟹ F_{1} = \frac{9 F}{1 6}$

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