Question 385: Electrostats & Capacitance

Question

Two charges $$q$$ and $$3 q$$ are separated by a distance '$$r$$' in air. At a distance $$x$$ from charge $$q$$, the resultant electric field is zero. The value of $$x$$ is :

Accepted Answer

$$\begin{aligned}
& \left(\vec{E}_{	ext {net }}ight)_P=0 \
& \frac{\mathrm{kq}}{\mathrm{x}^2}=\frac{\mathrm{k} \cdot 3 \mathrm{q}}{(\mathrm{r}-\mathrm{x})^2} \
& (\mathrm{r}-\mathrm{x})^2=3 \mathrm{x}^2 \
& \mathrm{r}-\mathrm{x}=\sqrt{3} \mathrm{x} \
& \mathrm{x}=\frac{\mathrm{r}}{\sqrt{3}+1}
\end{aligned}$$

Answer

$$\frac{r}{3(1+\sqrt{3})}$$

Answer

$$\frac{(1+\sqrt{3})}{r}$$

Answer

$$\frac{r}{(1+\sqrt{3})}$$

Answer

$$r(1+\sqrt{3})$$

Electrostats & Capacitance

Two charges $q and 3 q are separated by a distance 'r' in air. At a distance x from charge q, the resultant electric field is zero. The value of x$ is :

Choose the correct answer: