Answer:
The proper value is 95 cm
Explanation:
Capacitors are a very common electronic components used to store charge for a period. The simplest kind of capacitors (and very studied on physics class ) are the two parallel plates capacitor. It consists of two parallel plates and some space between them, one plate is connected to a positive terminal of a source of voltage and the other pate is connected to the negative terminal. The capacitance of a parallel plate capacitor is:
[tex]C=\frac{\varepsilon_{0}A}{d} [/tex]
with d the distance between the plates, A the area of the plates and εo the permittivity of vacuum that is [tex]8.85419\times10^{-12}\frac{C^{2}}{Nm^{2}} [/tex]
Knowing the area of a square plate is A=LxL = [tex]L^2 [/tex]:
[tex]C=\frac{\varepsilon_{0}L^2}{d} [/tex]
Solving for L:
[tex]L=\sqrt{\frac{dC }{\varepsilon_{0}}}=\sqrt{\frac{(0.4\times10^{-3})(200\times10^{-12})}{8.85419\times10^{-12}}} [/tex]
[tex]L=0.095 m [/tex]
