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Question

Two square plates $$(l\times l)$$ and dielectric $$\left(\dfrac{l}{2}\times \dfrac{t}{2}\times l\right)$$ are arranged as shown in Fig. Find the equivalent capacitance of the structure.

A
$$\dfrac{\varepsilon_0A}{t}\left(\dfrac{K+1}{K+3}\right)$$
B
$$\dfrac{\varepsilon_0A}{t}\left(\dfrac{3K+1}{2(K+1)}\right)$$
C
$$\dfrac{2\varepsilon_0A}{t}\left(\dfrac{K+1}{K+3}\right)$$
D
$$\dfrac{\varepsilon_0A}{t}\left(\dfrac{2K+1}{2K+3}\right)$$
Solution
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Correct option is A. $$\dfrac{\varepsilon_0A}{t}\left(\dfrac{3K+1}{2(K+1)}\right)$$

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