question_answer

Four equal capacitors are connected to a battery as shown in the adjoining figure. The potentials of \[P\] and \[Q\] are

A) \[5V\]and\[5V\]                              

B) \[10V\]and\[5V\]

C) \[10V\]and\[-10V\]        

D)  \[5V\]and\[-5V\]

Correct Answer: C

Solution :

Consider the circuit as shown in figure. It is clear that                 \[{{V}_{P}}-{{V}_{X}}={{V}_{X}}-{{V}_{Q}}\]and\[{{V}_{X}}=0\] \[\therefore \]  \[{{V}_{P}}=-{{V}_{Q}}\] Also,      \[{{V}_{P}}-{{V}_{Q}}=20\,\,V\] \[\therefore \]  \[{{V}_{P}}=10\,\,V\]and\[{{V}_{Q}}=-10\,\,V\]