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)  10 V and 5V

C)  10 V and\[-10\text{ }V\]   

D)  5 V and \[-5V\]

Correct Answer: C

Solution :

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