Electrostatics

As shown in the figure, a configuration of two equal point charges \(\left(q_{0}=+2 \mu \mathrm{C}\right)\) is placed on an inclined plane. Mass of each point charge is \(20 \mathrm{~g}\). Assume that there is no friction between charge and plane. For the system of two point charges to be in equilibrium (at rest) the height \(\mathrm{h}=x \times 10^{-3} \mathrm{~m}\).

The value of \(x\) is ____________.

(Take \(\frac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} \mathrm{~N} \mathrm{~m}^{2} \mathrm{C}^{-2}, g=10 \mathrm{~m} \mathrm{~s}^{-2}\) )