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The combination of capacitors with C1 = ...

The combination of capacitors with `C_1 = 3muF , C_2 = 4muF and C_3 = 2mu F` is charged by connecting AB to a battery.
Consider the following statements
I. Energy stored in `C_1` = Energy stored in `C_2` + Energy stored in `C_3`
II. Charge on `C_1 =` Charge on `C_2 +` Charge on `C_3 `
III. Potential drop across `C_1 =` Potential drop across `C_2 =` Potential drop across `C_3`
Which of these is/are correct

A

I and II

B

II only

C

I and III

D

III only

Text Solution

Verified by Experts

The correct Answer is:
B

`C_(AB) = (3xx6)/9 = 2muF`
`Q = C_(AB) V = 2V muC`
`Q_1 =Q_2 +Q_3 rarr` correct `rarr` (II)
`V_1=6/9 xxV =(2V)/3 , V_2 = V_3 =V/3 rarr ` incorrect (III)
`U_1 =1/2 C_1V_1^2 =(2V^2)/3 , U_2 =1/2 C_2V_2^2 =(2V^2)/9`
`U_3 =1/2 C_3V_3^2 =V^2/9`
`:. U_2 +U_3 =V^2/3 ne U_1 rarr (I) rarr` incorrect.
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