A) \[\sqrt{2}\,C\]
B) 2C
C) \[\frac{C}{\sqrt{2}}\]
D) \[\frac{C}{2}\]
Correct Answer: D
Solution :
The capacitance of a parallel plate capacitor with dielectric (oil) between its plates is. \[C=\frac{K{{\varepsilon }_{0}}A}{d}\] ...(i) where \[{{\varepsilon }_{0}}\] = electric permittivity of free space K = dielectric constant A = area of each plate of capacitor d = distance between two plates When dielectric (oil) is removed, so capacitance \[{{C}_{0}}=\frac{{{\varepsilon }_{0}}A}{d}...(ii)\] Comparing Eqs. (i) and (ii), we get \[C=K{{C}_{0}}\] \[\Rightarrow {{C}_{0}}=\frac{C}{K}=\frac{C}{2}(K=2)\]
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