Two unlike charges separated by a distance of $1 m$ attract each other with a force of $0.108 N$ . If the charges are in the ratio $1 : 3$ , the weak charge is :

Question

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Answer 1

Let the charges be $q$ and $3 q$
given force $= 0.108 N$
$\Rightarrow 0.108 = \frac{K ( q ) ( 3 q )}{( 1 ) ^{2}}$
$\Rightarrow 0.108 = 9 \times 1 0^{9} \times 3 q^{2}$

$\Rightarrow q^{2} = \frac{1 0 8 \times 1 0 ^{- 3}}{9 \times 3 \times 1 0 ^{9}}$

$\Rightarrow q^{2} = 4 \times 1 0^{- 12}$
$\Rightarrow q = 2 \times 1 0^{- 6}$
$∴ q = 2 μ C$

Answer 2

Let the charges be

q

and

3 q

given force

= 0.108 N

\Rightarrow 0.108 = \frac{K ( q ) ( 3 q )}{( 1 ) ^{2}}

\Rightarrow 0.108 = 9 \times 1 0^{9} \times 3 q^{2}

\Rightarrow q^{2} = \frac{1 0 8 \times 1 0 ^{- 3}}{9 \times 3 \times 1 0 ^{9}}

\Rightarrow q^{2} = 4 \times 1 0^{- 12}

\Rightarrow q = 2 \times 1 0^{- 6}

∴ q = 2 μ C