A parallel plate capacitor is made of two square plates of side \( a \) , separated by a dista...

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A parallel plate capacitor is made of two square plates of side \( a \) , separated by a distance \( d(d<<a) \). The lower triangular portion is filled with a dielectric constant \( K \), as shown in the figure. Capacitance of this capacitor is
img src=https://penpencil-static-content.s3.ap-south-1.amazonaws.com/5eb393ee95fab7468a79d189/exu296clwafhzj0nod8gzwr06.png /
(a) \( \frac{K \varepsilon_{0} a^{2}}{2 d(K+1)} \)
(b) \( \frac{K \varepsilon_{0} a^{2}}{d} \ln K \)
(c) \( \frac{K \varepsilon_{0} a^{2}}{d(K-1)} \ln K \)
(d) \( \frac{1}{2} \frac{K \varepsilon_{0} a^{2}}{d} \)
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