1.

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 of dielectric constant K, as shown in the figure. Capacitance of this capacitor is:

A. \(\frac{{{\rm{K}}{\epsilon _0}{{\rm{a}}^2}}}{{2{\rm{d}}\left( {{\rm{K}} + 1} \right)}}\)
B. \(\frac{{{\rm{K}}{\epsilon _0}{{\rm{a}}^2}}}{{{\rm{d}}\left( {{\rm{K}} - 1} \right)}}{\rm{ln\;K}}\)
C. \(\frac{{{\rm{K\epsilon_0}}{{\rm{a}}^2}}}{{\rm{d}}}{\rm{ln\;K}}\)
D. \(\frac{1}{2}\frac{{{\rm{K\epsilon_0}}{{\rm{a}}^2}}}{{\rm{d}}}\)
Answer» C. \(\frac{{{\rm{K\epsilon_0}}{{\rm{a}}^2}}}{{\rm{d}}}{\rm{ln\;K}}\)


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