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Two capacitors, C1 and C2, are connected in series and

Chapter 21, Problem 76P

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QUESTION:

Problem 76P

Two capacitors, C1 and C2, are connected in series and charged by a battery. Show that the energy stored in C1 plus the energy stored in C2 is equal to the energy stored in the equivalent capacitor, Ceq, when it is connected to the same battery.

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QUESTION:

Problem 76P

Two capacitors, C1 and C2, are connected in series and charged by a battery. Show that the energy stored in C1 plus the energy stored in C2 is equal to the energy stored in the equivalent capacitor, Ceq, when it is connected to the same battery.

ANSWER:

Step 1 of 3

Energy stored in the capacitor  is given by

 

Energy stored in the capacitor  is given by

 

Now,

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