Question

Given that q1 = 2micro coulomb and q2= -3 micro coulomb and r= 30cm
then find the force ​

Answer 1

$\huge\underline{\underline{\bf \green{Question-}}}$

Given that q1 = 2micro coulomb and q2= -3 micro coulomb and r= 30cm then find the force

$\huge\underline{\underline{\bf \green{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Charge ${\sf ( q_1)=2\mu C }$
• Charge ${\sf (q_2)=-3\mu C}$
• r = 30 cm or 0.3 m

$\large\underline{\underline{\sf To\:Find:}}$

• Force ( F )

❏ Coulomb's Law ➝

✪$\large{\boxed{\bf \blue{ F = \dfrac{1}{4π\epsilon_o}×\dfrac{q_1q_2}{r^2}}}}$

${\sf \dfrac{1}{4π\epsilon_o}=9×10^9\:Nm^2/c^2}$

$\implies{\sf 9×10^9×\dfrac{2×10^{-6}×(-3)×10^{-6}}{(0.3)^2} }$

$\implies{\sf 9×10^9×\dfrac{-6×10^{-12}}{9×10^{-2}}}$

$\implies{\sf -6×10^{-1}}$

$\implies{\bf \red{Force\:(F)=-0.6\:N }}$

$\huge\underline{\underline{\bf \green{Answer-}}}$

Force acting is ${\bf \red{0.6\:N}}$