Direction (Q. Nos. 24) A parallel plate capacitor is as shown in figure. Half of the region in between the plates of the capacitor is filled with a dielectric material of dielectric constant K and in the remaining half air is present. The capacitor is given a charge Q with the help of a battery. Some surfaces are marked on the figure. |
Surface I is the right half inner surface of the upper plate of capacitor in tire region in which air is present. |
Surface II is the left half inner surface of the upper plate of capacitor. |
Surface III is the surface of the dielectric slab which is near to the upper plate of capacitor. |
Based on above information answer the following questions: |
A) \[\frac{Q}{2}\]
B) \[\frac{Q}{1+K}\]
C) \[\frac{KQ}{1+K}\]
D) \[\frac{Q}{K-1}\]
Correct Answer: B
Solution :
Divide the charge \[Q\] on two capacitors. \[{{Q}_{2}}=\frac{Q\times {{C}_{0}}}{K{{C}_{0}}+{{C}_{0}}}=\frac{Q}{K+1}\]You need to login to perform this action.
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