Two charges +q and -3q are placed on x- axis separated by a distance d . ( -3q is right of q ) Where

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1. Electric Charges and Fields

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Two charges $+q$ and $-3q$ are placed on $x-$ axis separated by a distance $d$. ($-3q$ is right of $q$) Where should a third charge $2q$ be placed such that it will not experience any force ?

$\frac{d}{2}\,\left( {1 + \sqrt 3 } \right)$ to the left of $q$

$\frac{d}{2}\,\left( {1 - \sqrt 3 } \right)$ to the left of $q$

$\frac{d}{2}\,\left( {1 - \sqrt 3 } \right)$ to the right of $q$

$\frac{d}{2}\,\left( {1 + \sqrt 3 } \right)$ to the right of $q$

$\frac{\mathrm{kq}}{\mathrm{x}^{2}}=\frac{3 \mathrm{kq}}{(\mathrm{x}+\mathrm{d})^{2}}$

$\Rightarrow \mathrm{x}=\frac{\mathrm{d}}{2}(1+\sqrt{3})$ to the left of $\mathrm{q}$

Standard 12

Physics

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