A) \[5\,{{C}^{2}}{{N}^{-1}}{{m}^{-2}}\]
B) \[15\,{{c}^{2}}{{N}^{-1}}{{m}^{-2}}\]
C) \[0.44\times {{10}^{-10}}{{C}^{2}}{{N}^{-1}}{{m}^{-2}}\]
D) \[8.854\times {{10}^{-11}}{{C}^{2}}{{N}^{-1}}{{m}^{-2}}\]
Correct Answer: C
Solution :
(c) \[0.44\times {{10}^{-10}}{{C}^{2}}{{N}^{-1}}{{m}^{-2}}\] Capacitance of a parallel plate capacitor with air is \[C=\frac{{{\varepsilon }_{0}}A}{d}\] Capacitance of a same parallel plate capacitor with the introduction of a dielectric medium is \[C'=\frac{K{{\varepsilon }_{0}}A}{d}\] where, K is the dielectric constant of a medium. Or \[\frac{C'}{C}=K\] or \[K=\frac{15}{3}=5\]or \[K=\frac{\varepsilon }{{{\varepsilon }_{0}}}\] Or \[\varepsilon =K{{\varepsilon }_{0}}=5\times 8.854\times {{10}^{-12}}\] \[=0.44\times {{10}^{-10}}{{C}^{2}}{{N}^{-1}}{{m}^{-2}}\]You need to login to perform this action.
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