Two identical parallel plate capacitor are connected in series and the combination is connected with a battery as shown. Some changes in capacitor 1 are now made independently after the steady state is achived listed in column I. Some effects which may occur in new steady state due to these changes on the capacitor 2 are listed in column II. Match the changes on capacitor 1 in column I with corresponding effect on capacitor 2 in column II.

Column-I | Column-II |
(i) A dielectric slab is inserted | [A] charge on capacitor increases |
(ii) separation between plates is increased | [B] charge on capacitor decreases |
(iii) A metal plate is inserted connecting both plate | [C] Energy stored in capacitor increases |
(iv) Separation between is plate decreased | [D] Electric field between The plates of capacitor increase |
[E] Potential difference across the plate of capacitor will increase |
Text Solution
Verified by ExpertsA
Therefore, the effect on capacitor 2 is that the charge on capacitor increases.
Step 2: For change (ii), if the separation between the plates of capacitor 1 is increased, the capacitance decreases, which leads to a decrease in charge on capacitor 2. Hence, the corresponding effect is that the charge on capacitor 2 decreases.
Step 3: For change (iii), inserting a metal plate connecting both plates of capacitor 1 effectively creates a short circuit for capacitor 1, causing the charge on capacitor 2 to drop significantly or be eliminated altogether. This change would correspond to the energy stored in capacitor 2 decreasing.
Step 4: For change (iv), if the separation between the plates of capacitor 1 is decreased, the capacitance increases leading to an initial increase in charge on capacitor 2. Thus, the electric field between the plates of capacitor 2 would increase as a result of this change.
Therefore, the correct matches are:
(i)-[A], (ii)-[B], (iii)-[C], (iv)-[D].
Therefore, the final matched answer is:
(i)-[A], (ii)-[B], (iii)-[C], (iv)-[D].
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