Three charges are placed as shown in figure. | vedclass

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Question

The four possible force diagrams are shown in fig. Only the last picture can result in an electric field in the negative $\mathrm{x}$ - direction.&nbs

Vedclass · Accepted Answer

$\frac{{27}}{{32}}\,\mu C$

Vedclass · Answer

The four possible force diagrams are shown in fig. Only the last picture can result in an electric field in the negative $\mathrm{x}$ - direction. 

$\mathrm{q}_{1}=-2.00\, \mu \mathrm{C}, \mathrm{q}_{3}=+4.00 \,\mu \mathrm{C},$ and $\mathrm{q}_{2}>0$

as force on $\mathrm{q}_{3}$ is horizontal

so vertical component of $\mathrm{E}$ will be zero at $\mathrm{q}_{3}$ or $\quad \mathrm{E}_{y}=0$

${	herefore \mathrm{E}_{1} \sin 	heta \quad \mathrm{E}_{2} \cos 	heta} $

${\frac{\mathrm{k} \mathrm{q}_{1}}{\left(4 	imes 10^{-2}ight)^{2}} 	imes \sin 	heta=\frac{\mathrm{k} \mathrm{q}_{2}}{\left(3 	imes 10^{-2}ight)} \cos 	heta} $

${\mathrm{q}_{2}=\frac{9}{16} 	imes 	an 	heta 	imes \mathrm{q}_{1}=\frac{9}{16} 	imes \frac{3}{4} 	imes 2\, \mu \mathrm{C}=\frac{27}{32}\, \mu \mathrm{C}}$

Three charges are placed as shown in figure. The magnitude of $q_1$ is $2.00\, \mu C$, but its sign and the value of the charge $q_2$ are not known. Charge $q_3$ is $+4.00\, \mu C$, and the net force on $q_3$ is entirely in the negative $x-$ direction. The magnitude of $q_2$ is

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