A charge q-1 exerts a force of 45N on a charge of q-2-10-5- C located a point 0-2m from q-1- The magnitude of q-1- is4times 10-8- C2times 10-5- C3times 10-6- C5times 10-8- C

As we know electrostatic force between two charges F-kq1q2r2-x21D2-45-9-xD7-109-q1-10-x2212-5-0-x22C5-2-2-x21D2-q1-45-xD7-0-x22C5-2-xD7-0-x22C5-29-xD7-109-xD7-10-x2212-5-x21D2-q1-2-xD7-10-x2212-5C

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Standard XII

Physics

Coulomb's Law - Mathematical Form

Question

A charge $q_{1}$ exerts a force of $45 N$ on a charge of $q_{2} = 10^{- 5} C$ located at a point $0.2 m$ from $q_{1}$ . The magnitude of $q_{1}$ is
$4 \times 10^{- 8} C$
$2 \times 10^{- 5} C$
$3 \times 10^{- 6} C$
$5 \times 10^{- 8} C$

4 \times 10^{- 8} C

3 \times 10^{- 6} C

5 \times 10^{- 8} C

2 \times 10^{- 5} C

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Solution

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As we know electrostatic force between two charges $F = \frac{k q_{1} q_{2}}{r^{2}}$

$\Rightarrow 45 = \frac{(9 \times 10^{9}) (q_{1}) (10^{- 5})}{(0 \cdot 2)^{2}}$

$\Rightarrow q_{1} = \frac{45 \times 0 \cdot 2 \times 0 \cdot 2}{9 \times 10^{9} \times 10^{- 5}}$

$\Rightarrow q_{1} = 2 \times 10^{- 5} C$

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A charge q1 exerts a force of 45N on a charge of q2=10−5C located at a point 0.2m from q1. The magnitude of q1 is4×10−8C2×10−5C3×10−6C5×10−8C

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A charge $q_{1}$ exerts a force of $45 N$ on a charge of $q_{2} = 10^{- 5} C$ located at a point $0.2 m$ from $q_{1}$ . The magnitude of $q_{1}$ is
$4 \times 10^{- 8} C$
$2 \times 10^{- 5} C$
$3 \times 10^{- 6} C$
$5 \times 10^{- 8} C$