Three different dielectrics are filled in a p | vedclass

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Question

(c)

$C_1=\frac{6 A \varepsilon_0}{2 d}=\frac{3 A \varepsilon_0}{d}$

$C_2=\frac{A \varepsilon_0}{2\left(d-\frac{d}{2}\left(1-\frac{1}{3}\right)-\

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(c)

$C_1=\frac{6 A \varepsilon_0}{2 d}=\frac{3 A \varepsilon_0}{d}$

$C_2=\frac{A \varepsilon_0}{2\left(d-\frac{d}{2}\left(1-\frac{1}{3}\right)-\frac{d}{2}\left(1-\frac{1}{6}\right)\right)}$

$C_2=\frac{A \varepsilon_0}{2\left(\frac{d}{6}+\frac{d}{12}\right)}$

$C_2=\frac{A \varepsilon_0}{2\left(\frac{d}{4}\right)}$

$C_2=\frac{2 A \varepsilon_0}{d}$

$C=C_1+C_2=\frac{5 A \varepsilon_0}{d}$

Three different dielectrics are filled in a parallel plate capacitor as shown. What should be the dielectric constant of a material, which when fully filled between the plates produces same capacitance?

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