સમાંતર પ્લેટ કેપેસિટરની પ્લેટો વચ્ચેનું અંતર | vedclass

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Question

Let distance $(d)_{	ext {air }}=(d-t)$

$(d)_{	ext {medium }}=t 	ext {. }$

Let $V_m$ be vollage across medium, $va$ be vollage acrass air.

Vedclass · Accepted Answer

$\frac{{{\varepsilon _0}A}}{{\left[ {d\, - \,t\left\{ {1 - \frac{1}{K}} \right\}} \right]}}$

Vedclass · Answer

Let distance $(d)_{	ext {air }}=(d-t)$

$(d)_{	ext {medium }}=t 	ext {. }$

Let $V_m$ be vollage across medium, $va$ be vollage acrass air.

Total voulage $\begin{aligned}(V) =V_m+V_a \ =\frac{\sigma}{k \epsilon_0} 	imes t+\frac{\sigma}{\varepsilon_0} 	imes(d-t) \end{aligned}$

$	herefore \quad V=\frac{\sigma}{\varepsilon_0}\left[(d-t)+\frac{t}{k}ight]$

We can also write.

$	herefore \quad V=\frac{Q}{A \varepsilon_0}\left[(d-t)+\frac{t}{K}ight]$

$	herefore \quad C=\frac{Q}{V}$

bubstituting the values,

$c=\frac{Q}{\frac{Q}{A^2 \omega}\left[(d-t)+\frac{t}{K}ight]}$

$	herefore C=\frac{A^2 c o}{\left[d-t\left\{1+\frac{1}{K}ight\}ight]} .$

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