A) increases by a factor \[{{K}^{2}}\]
B) increases by a factor K
C) decreases by a-factor \[{{K}^{2}}\]
D) decreases by a factor K
Correct Answer: B
Solution :
The capacity of a parallel plate capacitor of plate area A, separated by distance d is \[C=\frac{K{{\varepsilon }_{0}}A}{d}\] ?. (i) where K is dielectric constant. Also, capacity in air, K = 1 \[C=\frac{{{\varepsilon }_{0}}A}{d}\] ...(ii) From Eqs. (i) and (ii), we get \[C\text{ }=KC\] Hence, capacity increases by a factor K.
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