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Question: Two identical capacitors are joined in parallel, charged to a potential V and then separated and the...

Two identical capacitors are joined in parallel, charged to a potential V and then separated and then connected in series i.e. the positive plate of one is connected to negative of the other

A

The charges on the free plates connected together are destroyed

B

The charges on the free plates are enhanced

C

The energy stored in the system increases

D

The potential difference in the free plates becomes

Answer

The potential difference in the free plates becomes

Explanation

Solution

Q1=CV\mathrm { Q } _ { 1 } = \mathrm { CV } and Q2=CV\mathrm { Q } _ { 2 } = \mathrm { CV }

Applying charge conservation

CV1+CV2=Q1+Q2C V _ { 1 } + C V _ { 2 } = Q _ { 1 } + Q _ { 2 }

CV1+CV2=2CVC V _ { 1 } + C V _ { 2 } = 2 C VV1+V2=2VV _ { 1 } + V _ { 2 } = 2 V