Question

Polystyrene has dielectric constant 2. 6 and dielectric strength 2. 0 × 107 v/m. A piece of polystyrene is used as a dielectric in a parallel-plate capacitor, filling the volume between the plates

Answer 1

The energy density of the polystyrene used as a dielectric is; 2.08 × 10^(7) J/m

What is the energy density?

We are given;

Dielectric constant; k_o = ε_r = 2.6

Dielectric strength = 2 × 10^(7) V/m

We are told that the electric field between the plates is 80% of the dielectric strength.

Thus;

Electric field; E = 80% × 2 × 10^(7)

E = 1.6 × 10^(7) V/m

Formula for the energy density is;

u = ½ε_r × E

u = ½ × 2.6 × 1.6 × 10^(7)

u = 2.08 × 10^(7) J/m

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