Question 711: Electrostats & Capacitance

Question

If the net electric field at point $$\mathrm{P}$$ along $$\mathrm{Y}$$ axis is zero, then the ratio of $$\left|\frac{q_2}{q_3}\right|$$ is $$\frac{8}{5 \sqrt{x}}$$, where $$x=$$ ________.

Accepted Answer

$$\begin{aligned}
\Rightarrow \quad & E_2 \cos 	heta=E_3 \cos \phi \
& \frac{q_2}{\left(2^2+4^2ight)} \frac{4}{\sqrt{2^2+4^2}}=\frac{q_3}{4^2+3^2} \frac{4}{\sqrt{4^2+3^2}} \
& \frac{q_2}{q_3}=\frac{20}{25} \frac{\sqrt{20}}{5}=\frac{4}{5} 	imes \frac{2 \sqrt{5}}{5} \
\Rightarrow \quad & n=5
\end{aligned}$$

Electrostats & Capacitance

If the net electric field at point $\mathrm{P} along \mathrm{Y} axis is zero, then the ratio of \left|\frac{q_2}{q_3}\right| is \frac{8}{5 \sqrt{x}}, where x=$ ________.

Choose the correct answer: