Two equal point charges each of 3 microcoulomb are separated by a certain distance in metres

Two equal point charges each of $$3\mu C$$ are separated by a certain distance in metres. If they are located at $$\left( i+j+k \right) $$ and $$\left( 2i+3j+k \right) $$, then the electrostatic force between them is

• A

  $$16.2 \times { 10 }^{ -3 }N$$

• B

  $$9\times { 10 }^{ -3 }N$$

• C

  $${ 10 }^{ -3 }N$$

• D

  $$9\times { 10 }^{ -2 }N$$

• E

  $$3\times { 10 }^{ -3 }N$$

By Coulomb's law, the force between two charges is $$F=\dfrac{1}{4\pi\epsilon_0}\dfrac{q_1q_2}{r^2}=(9\times 10^9)(\dfrac{3\times 10^{-6}\times 3\times 10^{-6}}{5})=16.2\times 10^{-3} N$$

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