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Two identical capacitors of capacitance C are connected to a power supply provid

ID: 1646039 • Letter: T

Question

Two identical capacitors of capacitance C are connected to a power supply providing an electric potential V. They are connected in two different configurations, circuit A and circuit B as shown in the figure below. The electric potential provided by the power supply is identical in each circuit. Complete the statement(s) by choosing the correct response: Less than, Greater than or Equal to. Equal to The equivalent capacitance of circuit A is _______ the equivalent capacitance of circuit B. Equal to The total energy stored in the capacitors in circuit B is _______ the total energy stored in the capacitors in circuit A.

Explanation / Answer

here we observed in circuit A

the capacitances are series connection

the equivalent capacitance Ca=c*c/c+c=0.5C

the energy stored in circuit A=Ua=1/2*0.5C*v^2=U/2

we observed in circuit B

the capacitance are in parallel connection

the equivalent resistance Cb=2C

the energy stored in circuit B=>Ub=1/2*2C*v^2=2U

therefore the equivalent capacitance of circuit A is lessthan the equivalent capacitance of circuit B

the total energy stored in the capacitors in circuit B is greater than the total energy stored in the capacitors in circuit A

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