Question 774: Electrostats & Capacitance

Question

Three equal charges are placed on the three corners of a square as shown below. If the magnitude of force between ' $\mathrm{q}_1$ ' and ' $\mathrm{q}_2$ ' is ' $\mathrm{F}_{12}$ ' and that between ' $\mathrm{q}_1$ ' and ' $\mathrm{q}_3$ ' is $\mathrm{F}_{13}$, then the ratio of $F_{13}$ to $F_{12}$ is

Accepted Answer

$$ \begin{aligned} \mathrm{F}_{12} & =\frac{1}{4 \pi \varepsilon_0} \cdot \frac{\mathrm{q}^2}{\mathrm{a}^2} \ \mathrm{~F}_{13} & =\frac{1}{4 \pi \varepsilon_0} \cdot \frac{\mathrm{q}^2}{(\sqrt{2} \mathrm{a})^2}=\frac{1}{4 \pi \varepsilon_0} \cdot \frac{\mathrm{q}^2}{2 \mathrm{a}^2} \ 	herefore \quad \frac{\mathrm{~F}_{13}}{\mathrm{~F}_{12}} & =\frac{1}{2} \end{aligned} $$

Answer

$\frac{1}{\sqrt{2}}$

Answer

$\sqrt{2}$

Answer

$\frac{1}{2}$

Answer

2

Electrostats & Capacitance

Three equal charges are placed on the three corners of a square as shown below. If the magnitude of force between ' \mathrm{q}_1 ' and ' \mathrm{q}_2 ' is ' \mathrm{F}_{12} ' and that between ' \mathrm{q}_1 ' and ' \mathrm{q}_3 ' is \mathrm{F}_{13}, then the ratio of F_{13} to F_{12} is

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