A) \[\sqrt{2}\,C\]
B) 2 C
C) \[\frac{C}{\sqrt{2}}\]
D) \[\frac{C}{2}\]
Correct Answer: D
Solution :
| [d] 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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