Three charge q, Q and 4q are placed in a stra | vedclass

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Question

$\left(\mathrm{F}_{\mathrm{net}}\right)_{\mathrm{q}}=0$

$\Rightarrow \mathrm{k} \frac{\mathrm{Qq}}{\left(\frac{\ell}{2}\right)^{2}}+\mathrm{k} \fra

Vedclass · Accepted Answer

$-\,q$

Vedclass · Answer

$\left(\mathrm{F}_{\mathrm{net}}\right)_{\mathrm{q}}=0$

$\Rightarrow \mathrm{k} \frac{\mathrm{Qq}}{\left(\frac{\ell}{2}\right)^{2}}+\mathrm{k} \frac{4 \mathrm{q}^{2}}{\ell^{2}}=0$

where $\mathrm{k}=\frac{1}{4 \pi \varepsilon_{0}}$

$\Rightarrow 4 \mathrm{Q} \mathrm{q}+4 \mathrm{q}^{2}=0$

$\Rightarrow \mathrm{Q}=-\mathrm{q}$

Three charge $q$, $Q$ and $4q$ are placed in a straight line of length $l$ at points distant $0,\,\frac {l}{2}$ and $l$ respectively from one end. In order to make the net froce on $q$ zero, the charge $Q$ must be equal to

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