Two point charges of 1 text{ nC} and 2 text{ | vedclass

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(A) The work done $W$ in bringing a charge $q_{3}$ to a point in the presence of charges $q_{1}$ and $q_{2}$ is given by the potential energy of the c

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$2.7$

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(A) The work done $W$ in bringing a charge $q_{3}$ to a point in the presence of charges $q_{1}$ and $q_{2}$ is given by the potential energy of the configuration: $W = V 	imes q_{3} = (\frac{kq_{1}}{\ell} + \frac{kq_{2}}{\ell}) q_{3}$ Given: $q_{1} = 1 	imes 10^{-9} 	ext{ C}$, $q_{2} = 2 	imes 10^{-9} 	ext{ C}$, $q_{3} = 3 	imes 10^{-9} 	ext{ C}$, $\ell = 3 	imes 10^{-2} 	ext{ m}$, $k = 9 	imes 10^{9} 	ext{ N.m}^{2}/	ext{C}^{2}$. Substituting the values: $W = \frac{9 	imes 10^{9}}{3 	imes 10^{-2}} (1 	imes 10^{-9} + 2 	imes 10^{-9}) 	imes 3 	imes 10^{-9}$ $W = (3 	imes 10^{11}) 	imes (3 	imes 10^{-9}) 	imes (3 	imes 10^{-9})$ $W = 27 	imes 10^{-7} 	ext{ J} = 2.7 	imes 10^{-6} 	ext{ J} = 2.7 	ext{ } \mu	ext{J}$.

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