A) \[\frac{4\,{{\varepsilon }_{0}}3}{d}\]
B) \[\frac{3\,{{\varepsilon }_{0}}5}{d}\]
C) \[\frac{2\,{{\varepsilon }_{0}}5}{d}\]
D) \[\frac{\,{{\varepsilon }_{0}}5}{d}\]
Correct Answer: C
Solution :
Two plates of B are joined together and therefore cannot form a capacitor. Thus, there are only two capacitors in parallel - one between the upper most plate and the next one and second between the lower most plate and the one above it. Hence.\[C={{C}_{1}}+{{C}_{2}}=\frac{{{\varepsilon }_{0}}5}{d}+\frac{{{\varepsilon }_{0}}5}{d}=\frac{2{{\varepsilon }_{0}}5}{d}\]
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