Two charges q and -3q are placed fixed on x-a | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

At $P:$ on $2 \mathrm{q}$, Force due to $\mathrm{q}$ is to the left and that due to $-3 \mathrm{q}$ is to the right.

$	herefore \frac{2 q^{2}}{4 \

Vedclass · Accepted Answer

$\frac{d}{2}\left( {1 + \sqrt 3 } \right)$ from $q$

Vedclass · Answer

At $P:$ on $2 \mathrm{q}$, Force due to $\mathrm{q}$ is to the left and that due to $-3 \mathrm{q}$ is to the right.

$	herefore \frac{2 q^{2}}{4 \pi \varepsilon_{0} x^{2}}=\frac{6 q^{2}}{4 \pi \varepsilon_{0}(d+x)^{2}}$

$	herefore(d+x)^{2}=3 x^{2}$

$	herefore 2 x^{2}-2 d x-d^{2}=0$

$x=\frac{d}{2} \pm \frac{\sqrt{3} d}{2}$

($-ve$ sign would be between $\mathrm{q}$ and $-3 \mathrm{q}$ and hence is unacceptable.)

$x=\frac{d}{2}+\frac{\sqrt{3} d}{2}=\frac{d}{2}(1+\sqrt{3})$ to the left of $q$

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

Similar Questions

If two charges $q _1$ and $q _2$ are separated with distance ' $d$ ' and placed in a medium of dielectric constant $K$. What will be the equivalent distance between charges in air for the same electrostatic force?

A charge ${q_1}$ exerts some force on a second charge ${q_2}$. If third charge ${q_3}$ is brought near, the force of ${q_1}$ exerted on ${q_2}$

A charge $q$ is placed at the centre of the line joining two equal charges $Q$. The system of the three charges will be in equilibrium, if $q$ is equal to

Two small metal balls of different masses $m_1$ and $m_2$ are connected by strings of equal length to a fixed point. When the balls are given equal charges, the angles that the two strings make with the vertical are $30^{\circ}$ and $60^{\circ}$, respectively. The ratio $m_1 / m_2$ is close to

The ratio of the forces between two small spheres with constant charge $(a)$ in air $(b)$ in a medium of dielectric constant $K$ is