A capacitor has parallel plates, with half of the space between the plates fille

Question

A capacitor has parallel plates, with half of the space between the plates filled with a dielectric material of constant ? and the other half filled with air as shown in the figure. Assume that the plates are square, with sides of length L, and that the separation between the plates is s. Determine the capacitance as a function of L. (Use any variable or symbol stated above along with the following as necessary: ?0.)

C = A capacitor has parallel plates, with half of the space between the plates filled with a dielectric material of constant ? and the other half filled with air as shown in the figure. Assume that the plates are square, with sides of length L, and that the separation between the plates is s. Determine the capacitance as a function of L. (Use any variable or symbol stated above along with the following as necessary: ?0.)

Explanation / Answer

A=L^2

total capacitance

C =C_dielectric +C_air

C =Keo(A/2)/d +eo(A/2)/d

C=KeoL^2/2s +eoL^2/2s

C=(eoL^2/2s)(K+1)

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