Question

The electrical flux density between two plates separated by polystyrene of relative permittivity 2.5 is 5µ C/m2 . Find the voltage gradient between the plates. 

Answer 1

The voltage gradient is:

$E=\frac{D}{\varepsilon_0 \varepsilon},$

where D - the electrical flux density;

$\varepsilon_0$ - the vacuum permittivity;

$\varepsilon$ - relative permittivity of polystyrene.

$E=\frac{5\cdot 10^{-6}}{8.85\cdot 10^{-12} \cdot 2.5}\approx 226\space kV/m.$

Answer: 226 kV/m