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ekS - Instytut Agrofizyki im. Bohdana Dobrzańskiego PAN w Lublinie ...

ekS - Instytut Agrofizyki im. Bohdana Dobrzańskiego PAN w Lublinie ...

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water orientation polarization [s], h is the parameter describing interaction of<br />

water dipoles: 0 < h < 1. After substituting (17) in (15) we can have Im(ε) for the<br />

electrolyte:<br />

⎡ 1−h<br />

hπ ⎤<br />

( εs<br />

− ε ∞)<br />

⎢( ωτ ) cos<br />

2 ⎥ σ e<br />

Im( ε ) =<br />

⎣<br />

⎦<br />

+<br />

2<br />

( ) ( 1−h<br />

) 1−h<br />

hπ<br />

1+<br />

ωτ + 2( ωτ ) sin<br />

ωε 0<br />

2<br />

(18)<br />

The absolute value of the complex dielectric permittivity of electrolyte, k, is:<br />

[ Re( ε )] 2 [ Im( ε )] 2<br />

k = ε = +<br />

(19)<br />

Presenting the values from Eq. (16) and Eq. (19) for different w gives the<br />

information about the frequency dispersion of ε’ and k, ie the dependence of the<br />

related values on the frequency of the applied electric field (Malicki [54]).<br />

Fig. 7.<br />

Frequency dispersion of the real part, ε’, and module, k, of the complex dielectric<br />

constant of the electrolyte for different conductivities<br />

Fig. 7 shows the frequency dispersion of the module, k, of the complex<br />

dielectric permittivity of an electrolyte and the dispersion of its real value, ε’, for<br />

the electrolyte of variable conductivity, EC a . The assumptions in the presented<br />

27

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